{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Tim es" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output " -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 } 3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "\324\340\351\353: \"...... .\\7.2.6. \304\353\377 PS \320\345\370\302\356\353\355\323\360\330\317 \316\" \322\350\362\356\342 \312.\302. 17.12.17." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 256 77 "7.2.6. (7.4.3.) \320\345\370\345\355\350\345 \342\356\353\355\356 \342\356\343\356 \363\360\340\342\355\345\355\350\377 \370\362\340\362 \355\373\354 \357\360\356\343\360\340\354\354\355\373\354 \356\341\345 \361\357\345\367\345\355\350\345\354 " }}{PARA 0 "" 0 "" {TEXT 257 5 " Maple" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 79 "\302\361\362\360\356\345 \355\355\356\345 \317\316 Maple \360\345\370\345\355\350\377 \363\360. \354\340\362.\364\350\347. \300\355\340\353\350\362\350\367\345\361 \352\356\345 \360\345\370\345\355\350\345 \362\356\351\346\345 \347 \340\344\340\367\350 \361\354. " }}{PARA 0 "" 0 "" {TEXT -1 25 "\355 \340\357\360\350\354\345\360 \342 \364\340\351\353\345 [7.2.3.]" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "\317\356\361\362\340\355\356\342 \352\340 \347\340\344\340\367\350:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 56 "\307\340\357\350\370\345\354 \344\350\364\364\345\360\345\355 \366\350\340\353\374\355\356\345 \363\360\340\342\355\345\355\350\345, \352\356\362\356\360\356\345 \341\363\344\345\354 \360\345\370\340 \362\374" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "c:=1:R:=1:J:=1: L:=2*Pi: T:=15:V0:=5:a:=1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "c*J*diff(u(x,t),t,t)+c*R*diff(u(x,t),t)=a^2*diff(u(x,t),x,x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/,&-%%diffG6$-%\"uG6$%\"xG%\"tG-%\"$G6 $F,\"\"#\"\"\"-F&6$F(F,F1-F&6$F(-F.6$F+F0" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "\302\342\345\344\345\354 \364\363\355\352\366\350\376" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "v(x,t)=diff(u(x,t),t);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"vG6$%\"xG%\"tG-%%diffG6$-%\"uGF&F (" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "\322\356\343\344\340 \350 \361\365\356\344\355\363\376 \347\340\344\340\367\363 \357\345\360\345 \357\350\370\345\354 \342 \342\350\344\345 \344\342\363\365 \363\360 \340\342\355\345\355\350\351" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "diff(u(x,t),t)=v(x,t),\nc*J*diff(v(x,t),t)+c*R*v(x,t)=a^2*diff(u (x,t),x,x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$/-%%diffG6$-%\"uG6$% \"xG%\"tGF+-%\"vGF)/,&-F%6$F,F+\"\"\"F,F2-F%6$F'-%\"$G6$F*\"\"#" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "\317\360\350\361\342\356\350\354 \+ \350\354\377 PDE1 \375\362\356\351 \361\350\361\362\345\354\345, \361 \+ \352\356\362\356\360\373\354 \341\363\344\345\354 \360\340\341\356\362 \340\362\374 \344\340\353\374\370\345" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "PDE1:=diff(u(x,t),t)=v(x,t),\nc*J*diff(v(x,t),t)+c*R* v(x,t)=a^2*diff(u(x,t),x,x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%P DE1G6$/-%%diffG6$-%\"uG6$%\"xG%\"tGF.-%\"vGF,/,&-F(6$F/F.\"\"\"F/F5-F( 6$F*-%\"$G6$F-\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "\302\361 \362\340\342\352\340 \"\304\340\355\356\":" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 "\307\340\344\340\344\350\354 \357\340\360\340\354\345\362 \360\373 \344\350\364\364\345\360\345\355\366\350\340\353\374\355\356 \343\356 \363\360\340\342\355\345\355\350\377:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "\302 \355\356\362\340\366\350\350 Maple \347\340\357 \350\370\345\354:" }}{PARA 0 "" 0 "" {TEXT -1 18 "\355\340\367\340\353 \374\355\373\345 \363\361\353\356\342\350\377 " }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 27 "Init := u(x,0)=V0,v(x,0)=0;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%%InitG6$/-%\"uG6$%\"xG\"\"!\"\"&/-%\"vGF)F+" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "\350 \343\360\340\355\350\367\355 \373\345 \363\361\353\356\342\350\377" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "Bdry := u(0,t)=0,\n D[1](u)(L,t)=0;\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%BdryG6$/-%\"uG6$\"\"!%\"tGF*/--&%\" DG6#\"\"\"6#F(6$,$*&\"\"#F2%#PiGF2F2F+F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "convert(D[1](u)(L,t)=0,diff);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%evalG6$-%%diffG6$-%\"uG6$%#t1G%\"tGF-<#/F-,$*&\"\"# \"\"\"%#PiGF4F4\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 84 "\322\356 \343\344\340, \350\361\357\356\353\374\347\363\377 \356\357\366\350 \376 pdsolve, \354\356\346\355\356 \361\356\361\362\340\342\350\362 \374 \347\340\344\340\355\350\345 \355\340 \360\345\370\345\355\350 \345 \344\350\364\364\345\360\345\355\366\350\340\353\374\355\356\343 \356" }}{PARA 0 "" 0 "" {TEXT -1 19 "\363\360\340\342\355\345\355\350 \377 \342 \342\350\344\345 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "pds := pdsolve(\{PDE1\},\{Init,Bdry\}, numeric);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$pdsG`6'%%plotG%'plot3dG%(animateG%&valueG%)sett ingsGb6#%+thismoduleG6#%%INFOG6#%inCopyright~(c)~2001~by~Waterloo~Mapl e~Inc.~All~rights~reserved.G6'%%plotG%'plot3dG%(animateG%&valueG%)sett ingsG6\"F9F96$%(INFO_inG%%INFOG%,_m146238548G6#%%INFOG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "\302\373\342\345\344\345\354 \355\340 \+ \357\345\367\340\362\374 \353\350\361\362\357\360\356\366\345\344\363 \360\363" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "pds:-value(t=1, output=listprocedure);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&/%\"xGf*6# F%6\"6#%inCopyright~(c)~2000~by~Waterloo~Maple~Inc.~All~rights~reserve d.GF(-%&evalfG6#9$F(F(F(/%\"tG$\"\"\"\"\"!/-%\"uG6$F%F0f*F'6&%$resG%)s olnprocG%)outpointG%&ndsolGF)F(C'>%'DigitsG-%&truncG6#-%'evalhfG6#F@>8 &F+>8%f*6#F<6'%*indepvalsG%(depvalsG%%varyG%%ndepG%\"iG6#%inCopyright~ (c)~2001~by~Waterloo~Maple~Inc.~All~rights~reserved.GE\\s\"Q0soln_proc eduresF(=F(6#;F2\"\"#E\\[l#F2\"*+KEY\"FZ\"*WKEY\"C*>8$X*%)anythingG6\" F([gl'#%!!!\"6\"600000000000000003FD41B2F769CF0E03FE41B2F769CF0E03FEE2 8C731EB69503FF41B2F769CF0E03FF921FB54442D183FFE28C731EB6950400197C987C 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{MPLTEXT 1 0 21 "uval := rhs(op(3,%));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%%uvalGf*6#%\"xG6&%$resG%)solnprocG%)outpointG% &ndsolG6#%inCopyright~(c)~2000~by~Waterloo~Maple~Inc.~All~rights~reser ved.G6\"C'>%'DigitsG-%&truncG6#-%'evalhfG6#F2>8&-%&evalfG6#9$>8%f*6#F+ 6'%*indepvalsG%(depvalsG%%varyG%%ndepG%\"iG6#%inCopyright~(c)~2001~by~ Waterloo~Maple~Inc.~All~rights~reserved.GE\\s\"Q0soln_proceduresF/=F/6 #;\"\"\"\"\"#E\\[l#FP\"*+KEY\"FQ\"*WKEY\"C*>8$X*%)anythingG6\"F/[gl'#% !!!\"6\"600000000000000003FD41B2F769CF0E03FE41B2F769CF0E03FEE28C731EB6 9503FF41B2F769CF0E03FF921FB54442D183FFE28C731EB6950400197C987C952C4400 41B2F769CF0E040069E9565708EFC400921FB54442D18400BA5614317CB34400E28C73 1EB695040105616905F83B6401197C987C952C44012D97C7F3321D240141B2F769CF0E 040155CE26E06BFEE40169E9565708EFC4017E0485CDA5E0A401921FB54442D18@*/F> Q%leftF/O&FW6#FP/F>Q&rightF/O&FW6#\"#@/F>Q&startF/O$\"\"!Feo4-%%typeG6 $F>.%(numericGYQ2non-numeric~inputF/@$52F>Fin2F^oF>Y6&QOrequested~%1~v 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