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0000000000009001000000000400001254696d6573204e657720526f6d616e00e8b1f377f1b1f3772040f577c70a663a040000002d010600070000002105010030007f03630c040000002d010300070000002105010031005302ac0e030000000000}}{\insrsid16542944 
\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'c2\'fb\'f7\'e8\'f1\'eb\'e8\'ec \'ea\'f0\'e8\'f2\'e5\'f0\'e8
\'e9, \'ef\'ee \'ea\'ee\'f2\'ee\'f0\'ee\'ec\'f3 \'ee\'ef\'f0\'e5\'e4\'e5\'eb\'e8\'ec \'f2\'e8\'ef \'e4\'e8\'f4\'f4\'e5\'f0\'e5\'ed\'f6\'e8\'e0\'eb\'fc\'ed\'ee\'e3\'ee \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'ff, \'f3\'ea\'e0\'e7\'e0\'e2
\par \'ed\'e0 \'ee\'e3\'f0\'e0\'ed\'e8\'f7\'e5\'ed\'e8\'ff \'ef\'e5\'f0\'e5\'ec\'e5\'ed\'ed\'fb\'f5 
\par }{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 `}{\cs20\f2\insrsid16542944 assume}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{\cs20\f2\insrsid16542944 x}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 >0,}{\cs20\f2\insrsid16542944 y}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 >0);`:}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 

\par }{\cs20\f2\insrsid16542944 di:=simplify(eval(a[1,2]^2-a[1,1]*a[2,2])); evalb(di>0):zn:=signum(di);}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1031{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1348\pich496\picwgoal764\pichgoal281\wmetafile8\bliptag1293426911\blipupi2540{\*\blipuid 4d1820dffec36a1617d6149898d9b259}0100090000038300000002001c00000000000400000003010800050000000b0200000000050000000c02ef014305050000002e01180000000500000002010100
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6d616e00e8b1f377f1b1f3772040f577a809664f040000002d010100070000002105020064693f016a00040000002d010000070000002105010031003f01f203030000000000}}{\insrsid16542944 
\par }{\dn7\insrsid9181979 {\pict{\*\picprop\shplid1032{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1381\pich496\picwgoal783\pichgoal281\wmetafile8\bliptag138069841\blipupi2540{\*\blipuid 083ac75105e91c7033057b300f503a6e}0100090000038300000002001c00000000000400000003010800050000000b0200000000050000000c02ef016605050000002e01180000000500000002010100
00000500000009020000ff001c000000fb025cfe0000000000009001000000000400001254696d6573204e657720526f6d616e00e8b1f377f1b1f3772040f577
ab096696040000002d0100000800000021050400203a3d203f01de011c000000fb025cfe0000000000009001010000000400001254696d6573204e657720526f
6d616e00e8b1f377f1b1f3772040f577ab096696040000002d01010007000000210502007a6e3f016a00040000002d010000070000002105010031003f011504030000000000}}{\insrsid16542944 
\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\insrsid16542944 \'c2\'e2\'e5\'e4\'b8\'ec \'e5\'f9\'b8 \'ee\'e4\'e8\'ed \'ef\'e0\'f0\'e0\'ec\'e5\'f2\'f0 }{
\cs144\b0\i\insrsid16542944 dii}{\b0\insrsid16542944 
\par }{\cs20\f2\insrsid16542944 dii:=factor(di); qdii:=sqrt(dii);}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1033{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1471\pich496\picwgoal834\pichgoal281\wmetafile8\bliptag493373217\blipupi2540{\*\blipuid 1d684721e84063776f521f7570803e55}0100090000038400000002001c00000000000400000003010800050000000b0200000000050000000c02ef01bf05050000002e01180000000500000002010100
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\par }{\dn7\insrsid9181979 {\pict{\*\picprop\shplid1034{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1683\pich496\picwgoal954\pichgoal281\wmetafile8\bliptag37611757\blipupi2540{\*\blipuid 023de8ed38c929d3b8ebec5733a80d7c}0100090000038400000002001c00000000000400000003010800050000000b0200000000050000000c02ef019306050000002e01180000000500000002010100
00000500000009020000ff001c000000fb025cfe0000000000009001000000000400001254696d6573204e657720526f6d616e00e8b1f377f1b1f3772040f577
ab096698040000002d0100000800000021050400203a3d203f010b031c000000fb025cfe0000000000009001010000000400001254696d6573204e657720526f
6d616e00e8b1f377f1b1f3772040f577ab096698040000002d0101000800000021050400716469693f016a00040000002d010000070000002105010031003f014205030000000000}}{\insrsid16542944 
\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'c2 \'f1\'ee\'ee\'f2\'e2\'e5\'f2\'f1\'f2\'e2\'e8\'e8 \'f1 \'e2
\'fb\'f7\'e8\'f1\'eb\'e5\'ed\'ed\'fb\'ec \'ea\'f0\'e8\'f2\'e5\'f0\'e8\'e5\'ec }{\cs103\b0\i\insrsid16542944 di}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'ef\'f0\'ee\'e2\'e5\'e4\'e5\'ec \'e2\'fb\'e1\'ee\'f0 \'f2\'e8\'ef\'e0 
\'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'ff \'f1 
\par \'ef\'ee\'ec\'ee\'f9\'fc\'fe \'eb\'ee\'e3\'e8\'f7\'e5\'f1\'ea\'ee\'e3\'ee \'e1\'eb\'ee\'ea\'e0, \'e8\'f1\'ef\'ee\'eb\'fc\'e7\'f3\'ff }{\cs145\b0\i\insrsid16542944 zn}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944    
\par }{\cs20\f2\insrsid16542944 if}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  }{\cs20\f2\insrsid16542944 zn}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 >0 }{\cs20\f2\insrsid16542944 then}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  }{\cs20\f2\insrsid16542944 tip}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :=`\'e3\'e8\'ef\'e5\'f0\'e1\'ee\'eb\'e8\'f7\'e5\'f1\'ea\'e8\'e9` }{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par }{\cs20\f2\insrsid16542944 else if zn=0 then tip:=`\'ef\'e0\'f0\'e0\'e1\'ee\'eb\'e8\'f7\'e5\'f1\'ea\'e8\'e9`}{\b0\insrsid16542944 
\par }{\cs20\f2\insrsid16542944 else}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  }{\cs20\f2\insrsid16542944 tip}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :=`\'fd\'eb\'eb\'e8\'ef\'f2\'e8\'f7\'e5\'f1
\'ea\'e8\'e9` }{\cs20\f2\insrsid16542944 fi}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :}{\cs20\f2\insrsid16542944 fi}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par \'e8 \'e4\'e0\'e4\'e8\'ec \'e5\'e3\'ee \'e2\'e8\'e7\'f3\'e0\'eb\'e8\'e7\'e0\'f6\'e8\'fe \'ed\'e0 \'e4\'e8\'f1\'ef\'eb\'e5\'e5
\par }{\cs20\f2\insrsid16542944 tip; }{\b0\insrsid16542944 \'ce\'f2\'e2\'e5\'f2:
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1035{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw3242\pich496\picwgoal1838\pichgoal281\wmetafile8\bliptag948396142\blipupi-652{\*\blipuid 3887606e339d5d1d25abc81b7ecbbc04}0100090000035700000001001c00000000000400000003010800050000000b0200000000050000000c02ef01aa0c050000002e01180000000500000002010100
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'d1\'ee\'f1\'f2\'e0\'e2\'eb\'ff\'e5\'ec  \'f5\'e0\'f0\'e0\'ea
\'f2\'e5\'f0\'e8\'f1\'f2\'e8\'f7\'e5\'f1\'ea\'ee\'e5 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'e5, \'f1\'f7\'e8\'f2\'e0\'ff }{\cs23\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'f4\'f3\'ed\'ea\'f6\'e8\'e5\'e9 \'ee\'f2 }{\cs24\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f5}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 , \'f2\'ee \'e5\'f1\'f2\'fc }{\cs25\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{
\cs26\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f5}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ). \'c4\'eb\'ff
\par \'fd\'f2\'ee\'e3\'ee \'ef\'f0\'ee\'e2\'e5\'e4\'e5\'ec \'e7\'e0\'ec\'e5\'ed\'f3 }{\cs27\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3 }{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'ed\'e0}{
\cs29\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'f3}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{\cs28\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f5}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ) \'e2 \'ea\'ee\'fd\'f4\'f4\'e8\'f6\'e8\'e5\'ed\'f2\'e0\'f5 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'ff }{\cs104\b0\i\insrsid16542944 de}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par }{\cs20\f2\insrsid16542944 A[1,2]:=subs(y=y(x),a[1,2]);A[1,1]:=subs(y=y(x),a[1,1]);A[2,2]:=subs(y=y(x),a[2,2]);}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn15\insrsid9181979 {\pict{\*\picprop\shplid1036{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw2623\pich619\picwgoal1487\pichgoal351\wmetafile8\bliptag-364528055\blipupi-1139{\*\blipuid ea45be49450e372522aacde0df95a3b5}
010009000003d200000003001c00000000000400000003010800050000000b0200000000050000000c026b023f0a050000002e01180000000500000002010100
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76086617040000002d0100000800000021050400203a3d203f010c031c000000fb025cfe0000000000009001010000000400001254696d6573204e657720526f
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\par }{\dn15\insrsid9181979 {\pict{\*\picprop\shplid1037{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw1685\pich619\picwgoal955\pichgoal351\wmetafile8\bliptag903901858\blipupi2540{\*\blipuid 35e072a2161eb8cf71a39e871cdfbc43}010009000003b800000003001c00000000000400000003010800050000000b0200000000050000000c026b029406050000002e01180000000500000002010100
00000500000009020000ff001c000000fb025cfe0000000000009001000000000400001254696d6573204e657720526f6d616e00e8b1f377f1b1f3772040f577
c70a663c040000002d0100000800000021050400203a3d203f010c031c000000fb025cfe0000000000009001010000000400001254696d6573204e657720526f
6d616e00e8b1f377f1b1f3772040f577c70a663c040000002d010100070000002105010041003f016a001c000000fb02e8fe0000000000009001000000000400
001254696d6573204e657720526f6d616e00e8b1f377f1b1f3772040f577c70a663c040000002d01020007000000210501002c00de01f00107000000210501003100de01620107000000210501003100de017e02040000002d010000070000002105010031003f014305030000000000}}{\insrsid16542944 
\par }{\dn13\insrsid9181979 {\pict{\*\picprop\shplid1038{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw2923\pich690\picwgoal1657\pichgoal391\wmetafile8\bliptag1383115321\blipupi-763{\*\blipuid 5270aa39576dc3be5573ccd210d1e318}
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3200240262010700000021050100320024027e021c000000fb025cfe0000000000009001000000020700001253796d626f6c0000bd090ad4d0880a00e8b1f377
f1b1f3772040f57776086619040000002d01030007000000210501002d0085014305040000002d01000007000000210501002800850107080700000021050100
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'d2\'e0\'ea\'e0\'ff \'e7\'e0\'ec\'e5\'ed\'e0 \'ed\'e5\'ee\'e1
\'f5\'ee\'e4\'e8\'ec\'e0 \'e4\'eb\'ff \'ef\'f0\'e0\'e2\'e8\'eb\'fc\'ed\'ee\'e9 \'f0\'e0\'e1\'ee\'f2\'fb }{\b0\insrsid16542944 Maple}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'ef\'f0\'e8 \'f0\'e5\'f8\'e5\'ed\'e8\'e8 \'f5\'e0
\'f0\'e0\'ea\'f2\'e5\'f0\'e8\'f1\'f2\'e8\'f7\'e5\'f1-
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\'e5 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'e5,
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\par }{\cs20\f2\insrsid16542944 F:=subs(x=xp,F): F:=subs(y=yp,F): F:=simplify(F); }{\b0\insrsid16542944 
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\par }{\cs20\f2\insrsid16542944 F1:=simplify(F1);}{\b0\insrsid16542944 
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\par }{\cs20\f2\insrsid16542944 de1:=simplify(de1); de1:=subs(xi=v,eta=w,de1);}{\b0\insrsid16542944 
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\par }{\dn21\insrsid9181979 {\pict{\*\picprop\shplid1072{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'c8\'f1\'ef\'ee\'eb\'fc\'e7\'f3\'ff \'ee\'ef\'f6\'e8\'fe }{
\cs106\b0\i\insrsid16542944 pdsolve}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 , \'ef\'f0\'ee\'e2\'e5\'e4\'e5\'ec \'f0\'e5\'f8\'e5\'ed\'e8\'e5, \'ea\'ee\'f2\'ee\'f0\'ee\'e5 \'e2 \'e4\'e0\'ed\'ed\'ee\'ec \'f1\'eb\'f3\'f7\'e0\'e5 
\'ed\'e5 \'e7\'e0\'e2\'e8\'f1\'e8\'f2 \'ee\'f2 
\par \'ed\'e0\'f7\'e0\'eb\'fc\'ed\'fb\'f5 \'f3\'f1\'eb\'ee\'e2\'e8\'e9 }{\cs60\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3\'f50}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par }{\cs20\f2\insrsid16542944 ans}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :=}{\cs20\f2\insrsid16542944 pdsolve}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (\{}{\cs20\f2\insrsid16542944 de}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 1\},}{\cs20\f2\insrsid16542944 u}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{\cs20\f2\insrsid16542944 v}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ,}{\cs20\f2\insrsid16542944 w}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ));}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 

\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1073{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'cf\'ee\'e4\'f1\'f2\'e0\'e2\'e8\'ec \'ef\'ee\'eb\'f3\'f7\'e5
\'ed\'ed\'ee\'e5 \'f0\'e5\'f8\'e5\'ed\'e8\'e5 \'e2 \'e4\'e8\'f4\'f4\'e5\'f0\'e5\'ed\'f6\'e8\'e0\'eb\'fc\'ed\'ee\'e5 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'e5 }{\cs61\b0\i\insrsid16542944 de}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
1 \'e8 \'f3\'e1\'e5\'e4\'e8\'ec\'f1\'ff \'e2 \'f2\'ee\'ec,
\par \'f7\'f2\'ee \'ee\'ed\'ee \'ee\'e1\'f0\'e0\'f9\'e0\'e5\'f2 \'e5\'e3\'ee \'e2 \'f2\'ee\'e6\'e4\'e5\'f1\'f2\'e2\'ee
\par }{\cs20\f2\insrsid16542944 pdetest(ans,de1);}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1074{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'ca\'e0\'ea \'e8 \'f1\'eb\'e5\'e4\'ee\'e2\'e0\'eb\'ee \'ee\'e6
\'e8\'e4\'e0\'f2\'fc, \'ef\'ee\'eb\'f3\'f7\'e8\'eb\'e8 \'ed\'ee\'eb\'fc. \'c7\'e4\'e5\'f1\'fc \'ef\'ee-\'ef\'f0\'e5\'e6\'ed\'e5\'ec\'f3 \'f1\'eb\'e5\'e4\'f3\'e5\'f2 \'ee\'f2\'ee\'e6\'e4\'e5\'f1\'f2\'e2\'eb\'ff\'f2\'fc }{\cs42\b0\i\insrsid16542944 v}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'e8 
\par }{\cs43\b0\i\insrsid16542944 w}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'f1 \'ed\'ee\'e2\'fb\'ec\'e8 \'ef\'e5\'f0\'e5\'ec\'e5\'ed\'ed\'fb\'ec\'e8 }{\cs44\b0\i\insrsid16542944 xi}{
\cs44\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  }{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'e8  }{\cs45\b0\i\insrsid16542944 eta}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
: }{\cs46\b0\i\insrsid16542944 v}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 =}{\cs47\b0\i\insrsid16542944 xi}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ,  }{\cs48\b0\i\insrsid16542944 w}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 =}{\cs49\b0\i\insrsid16542944 eta}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 . \'c2 \'ef\'ee\'eb\'f3\'f7\'e5\'ed\'ed\'ee\'ec \'f0\'e5\'f8\'e5\'ed\'e8\'e8 }{
\cs50\b0\i\insrsid16542944 ans}{\cs50\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  }{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'ed\'e5\'e8\'e7\'e2\'e5\'f1\'f2\'ed\'fb-
\par \'ec\'e8 \'ff\'e2\'eb\'ff\'fe\'f2\'f1\'ff \'ef\'f0\'ee\'e8\'e7\'e2\'ee\'eb\'fc\'ed\'fb\'e5 \'f4\'f3\'ed\'ea\'f6\'e8\'e8 _}{\cs62\b0\i\insrsid16542944 F}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 1(}{\cs64\b0\i\insrsid16542944 v}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ) \'e8 _}{\cs63\b0\i\insrsid16542944 F}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 2(}{\cs65\b0\i\insrsid16542944 w}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ), \'ea\'ee\'f2\'ee\'f0\'fb\'e5 \'e8\'f9\'f3\'f2\'f1\'ff \'e8\'e7 \'ed\'e0\'f7\'e0\'eb\'fc\'ed\'fb\'f5 \'f3\'f1\'eb\'ee-
\par \'e2\'e8\'e9 }{\cs51\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3\'f50}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 . \'c4\'eb\'ff \'e8\'f5 \'ed\'e0\'f5\'ee\'e6\'e4\'e5\'ed\'e8\'ff \'e8 \'ef\'f0\'e8\'ec
\'e5\'ed\'e5\'ed\'e8\'ff }{\cs82\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3\'f50}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944   \'e2 }{\cs52\b0\i\insrsid16542944 ans}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'ef\'e5\'f0\'e5\'e9\'e4\'e5\'ec \'ea \'ef\'f0\'e5\'e6\'ed\'e8\'ec \'ef\'e5\'f0\'e5\'ec\'e5\'ed\'ed\'fb\'ec 
\par }{\cs53\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f5}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'e8 }{\cs54\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f3}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 , \'e8\'f1\'ef\'ee\'eb\'fc\'e7\'f3\'ff \'e7\'e0\'e2\'e8\'f1\'e8\'ec\'ee\'f1\'f2\'e8 }{\cs55\b0\i\insrsid16542944 xi}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}
{\b0\insrsid16542944 x}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ,}{\b0\insrsid16542944 y}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ) \'e8 }{\cs56\b0\i\insrsid16542944 eta}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{\b0\insrsid16542944 x}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ,}{\b0\insrsid16542944 y}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ).
\par }{\cs20\f2\insrsid16542944 ans:=subs(v=xi(x,y),w=eta(x,y),ans);}{\b0\insrsid16542944 
\par }\pard\plain \s150\ql \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn27\insrsid9181979 {\pict{\*\picprop\shplid1075{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 )
\par }{\cs20\f2\insrsid16542944 U:=(x,y)->_F2(-y+sin(x)+x)+_F1(-y+sin(x)-x);}{\b0\insrsid16542944 
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\'e2\'ee\'e4\'ed\'f3\'fe \'ee\'f2 \'fd\'f2\'ee\'e9 \'f4\'f3\'ed\'ea\'f6\'e8\'e8 \'f1 \'ee\'e4\'ed\'ee\'e2\'f0\'e5\'ec\'e5\'ed\'ed\'fb\'ec \'e2\'fb\'f7\'e8\'f1\'eb\'e5\'ed\'e8\'e5\'ec \'e5\'b8 \'e7\'ed\'e0\'f7\'e5\'ed\'e8\'ff \'e2 
\par \'e7\'e0\'e4\'e0\'ed\'ed\'ee\'e9 \'f2\'ee\'f7\'ea\'e5 }{\cs85\b0\i\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f30}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par }{\cs20\f2\insrsid16542944 dU}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :=}{\cs20\f2\insrsid16542944 D}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 [1](}{\cs20\f2\insrsid16542944 U}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 )(}{\cs20\f2\insrsid16542944 x}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 0,}{\cs20\f2\insrsid16542944 y}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ); }{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'f1\'e5\'ec\'e0\'ed\'f2\'e8\'ea\'e0 \'ee\'ef\'e5\'f0\'e0\'f2\'ee\'f0\'e0 }{\cs107\b0\i\insrsid16542944 D}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944  \'ef\'ee\'ff\'f1\'ed\'ff\'eb\'e0\'f1\'fc \'e2\'fb\'f8\'e5.
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn7\insrsid9181979 {\pict{\*\picprop\shplid1077{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 *) \'cf\'ee\'f1\'eb\'e5 \'f7\'e5\'e3\'ee \'e7\'e0\'ef\'e8\'f8
\'e5\'ec \'ef\'ee \'f7\'e8\'f1\'eb\'f3 \'ed\'e0\'f7\'e0\'eb\'fc\'ed\'fb\'f5 \'f3\'f1\'eb\'ee\'e2\'e8\'e9  
\par }{\cs20\f2\insrsid16542944 U}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 (}{\cs20\f2\insrsid16542944 x}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 0,}{\cs20\f2\insrsid16542944 y}{
\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ): }{\cs20\f2\insrsid16542944 dU}{\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 :}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 

\par *) \'e4\'e2\'e0 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'ff
\par }{\cs20\f2\insrsid16542944 yr1:=U(x0,y)=u0; yr2:=dU=du0;}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn6\insrsid9181979 {\pict{\*\picprop\shplid1078{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }{\dn7\insrsid9181979 {\pict{\*\picprop\shplid1079{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw4554\pich496\picwgoal2582\pichgoal281\wmetafile8\bliptag-213046950\blipupi177{\*\blipuid f34d295a8fe24cc373267d7ab2fc6020}010009000003fc00000003001c00000000000400000003010800050000000b0200000000050000000c02ef01ca11050000002e01180000000500000002010100
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\insrsid16542944 
\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 *) \'c2\'e2\'e5\'e4\'e5\'ec \'e2 \'fd\'f2\'e8\'f5 \'f3\'f0\'e0
\'e2\'ed\'e5\'ed\'e8\'ff\'f5 \'e8\'f5 \'ee\'e1\'f9\'e8\'e9 \'e0\'f0\'e3\'f3\'ec\'e5\'ed\'f2 }{\cs57\b0\i\insrsid16542944 z}{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 =-}{\b0\insrsid16542944 y}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 , \'ef\'f0\'ee\'e2\'ee\'e4\'ff \'ef\'ee\'e4\'f1\'f2\'e0\'ed\'ee\'e2\'ea\'f3
\par }{\cs20\f2\insrsid16542944 yr1:=subs(y=-z,yr1); yr2:=subs(y=-z,yr2);}{\b0\insrsid16542944 
\par }\pard\plain \s149\qc \li0\ri0\sl360\slmult1\nowidctlpar\faauto\rin0\lin0\itap0 \fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\dn6\insrsid9181979 {\pict{\*\picprop\shplid1080{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}
{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
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\par }{\dn7\insrsid9181979 {\pict{\*\picprop\shplid1081{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0
\picw4288\pich496\picwgoal2431\pichgoal281\wmetafile8\bliptag822735248\blipupi45{\*\blipuid 3109f1901805db2f0d493cc0d1a8afe5}010009000003ed00000003001c00000000000400000003010800050000000b0200000000050000000c02ef01c010050000002e01180000000500000002010100
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 \'c4\'e0\'eb\'e5\'e5 \'f0\'e5\'f8\'e0\'e5\'ec \'fd\'f2\'f3 \'f1
\'e8\'f1\'f2\'e5\'ec\'f3 \'e4\'e2\'f3\'f5 \'f3\'f0\'e0\'e2\'ed\'e5\'ed\'e8\'e9 \'ef\'f0\'ee\'e3\'f0\'e0\'ec\'ec\'ed\'fb\'ec\'e8 \'f1\'f0\'e5\'e4\'f1\'f2\'e2\'e0\'ec\'e8 }{\b0\insrsid16542944 Maple}{
\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
\par }{\cs20\f2\insrsid16542944 sys:=yr1,yr2; fons:=\{_F1(z),_F2(z)\}; simplify(dsolve(\{sys\},fons));}{\b0\insrsid16542944 
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\cs20\f2\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 ); }{\b0\lang1049\langfe1049\langnp1049\insrsid16542944\charrsid16542944 
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\par }{\cs20\f2\insrsid16542944 re:=subs(u(x,y)=U(x,y),de): re;}{\b0\insrsid16542944 
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\par }\pard\plain \ql \li0\ri0\nowidctlpar\faauto\rin0\lin0\itap0 \b\fs24\cf1\lang1033\langfe1049\cgrid\langnp1033\langfenp1049 {\b0\insrsid16542944  
\par }}