{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 21 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 20 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Ma ple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 20 " Separace prom\354nn\375ch" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 11 "M\341me \370e\232it " }{XPPEDIT 18 0 "diff( y(x), x) = 3*exp(x)*y^ (2/3);" "6#/-%%diffG6$-%\"yG6#%\"xGF**(\"\"$\"\"\"-%$expG6#F*F-)F(*&\" \"#F-F,!\"\"F-" }{TEXT -1 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "rov2:= diff( y(x), x) = 3*exp(x)*(y(x))^(2/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%rov2G/-%%diffG6$-%\"yG6#%\"xGF,,$*(\"\"$\"\"\"- %$expGF+F0)F)#\"\"#F/F0F0" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "Mapl e spo\350te:\n" }{MPLTEXT 1 0 27 "res2:=dsolve( rov2, y(x) );" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%res2G/,(*$)-%\"yG6#%\"xG#\"\"\"\"\" $F.F.-%$expGF+!\"\"%$_C1GF2\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "y(x) tedy odpov\355d\341 v\375razu:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "solve( res2, y(x) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**$)- %$expG6#%\"xG\"\"$\"\"\"F+*(F*F+)F&\"\"#F+%$_C1GF+F+*(F*F+F&F+)F/F.F+F +*$)F/F*F+F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "co\236 zjednodu \232\355me:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "res_y:= factor(%);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%&res_yG*$),&-%$expG6#%\"xG\"\"\"%$_C1GF,\"\"$F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 84 "A n\354kolik \370e\232en\355 op\354t zobraz\355 me (pro z\341porn\351 hodnoty _C1 \350erven\354, nez\341porn\351 \350e rn\354):\n" }{TEXT 256 15 "Pozn. k MAPLE: " }{TEXT 257 187 "Nyn\355 je nutno zadat zobrazovan\351 funkce jako seznam a nikoli mno\236inu, te dy do hranat\375ch a nikoli slo\236en\375ch z\341vorek. Tak toti\236 z ajist\355me, \236e bude zachov\341no po\370ad\355 a barvy p\370i\370az eny spr\341vn\354." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "f2:= unapply ( res_y, x, _C1);\n\nbarvy2:=\n[seq( red, i=0..9),\nseq( black, i=10.. 14)]:\n\nplot(\n[seq( f2(x,(i-10)),i=0..14 )],\nx=-1..0.5,color=barvy2 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#f2Gf*6$%\"xG%$_C1G6\"6$%)ope ratorG%&arrowGF)*$),&-%$expG6#9$\"\"\"9%F4\"\"$F4F)F)F)" }}{PARA 13 " " 1 "" {GLPLOT2D 375 375 375 {PLOTDATA 2 "63-%'CURVESG6$7S7$$!\"\"\"\" !$!39xHx!Rkk$*)!#:7$$!3u****\\(oUIn*!#=$!3JGe2'4wC!*)F-7$$!3c**\\7y)e& )Q*F1$!33N**R^(e?())F-7$$!3G++D\"3F'o!*F1$!3'p3n!)=))o$))F-7$$!3i***\\ (oXdY()F1$!3pm&yeDG/!))F-7$$!3!)**\\i:F0E%)F1$!3Y))GE$\\hIw)F-7$$!3Q+] 7Gz))G\")F1$!30T@Zg.VF()F-7$$!3#)**\\7.5>@yF1$!3_qleS,^*o)F-7$$!3(*** \\7./(H](F1$!39bZAau;\\')F-7$$!3a**\\iS.x&=(F1$!3U(*[Msly2')F-7$$!3O++ ](3\"\\foF1$!3aJfTtT(Rc)F-7$$!3S***\\P9/@d'F1$!3^!\\Su@6V_)F-7$$!3I++] 7Xd[iF1$!3q260P&G%y%)F-7$$!3a****\\PkrBfF1$!3T8\"QGi85V)F-7$$!3K++]([b 1h&F1$!3#HH?!eb,%Q)F-7$$!3]**\\7`hOE`F1$!3rnq#pk,-M)F-7$$!3%*****\\P'= $))\\F1$!3kadi'3kmG)F-7$$!3$*******\\![>q%F1$!3*>f'e:61S#)F-7$$!35+]7y 4$)oVF1$!3%3Z\")epvV=)F-7$$!3W+++Df'R2%F1$!3&y1y5mKP8)F-7$$!3o**\\7GAX ]PF1$!3%oE%3qknw!)F-7$$!3i**\\P%o!RUMF1$!3#R()4Y@j3-)F-7$$!3a***\\7yg4 7$F1$!3)eC!='y`5'zF-7$$!3_**\\i!z(yDGF1$!3lR0i'e&o/zF-7$$!39++vVQS2DF1 $!3F&y))*=OIUyF-7$$!37+]7.Cpw@F1$!3Q#)4zJXtvxF-7$$!3A+](=72)))=F1$!3c6 Ro^\")G;xF-7$$!3o***\\78$)yd\"F1$!3Y_lGx(*[]wF-7$$!3_+++D#omD\"F1$!3;T h3-Qu!e(F-7$$!3Z/+]i5AC%*!#>$!3@ZxOP)R2^(F-7$$!3q++D\"GGPQ'Fht$!3HFC@0 >JTuF-7$$!3@-+]P%zx+$Fht$!3a>27-\"QAO(F-7$$\"3IY*)****\\2mD!#@$!3+[na \"Qw$*G(F-7$$\"3k-++Dc]kKFht$!3t&=D2Vg'4sF-7$$\"3;$**\\(o/Q*>'Fht$!3.s ,:&H*oNrF-7$$\"3f3++vQ(zS*Fht$!3?NtT(z/H0(F-7$$\"3)*)*\\(=-,FC\"F1$!35 /?\"\\giJ(pF-7$$\"3?+]P4tFe:F1$!3_&\\4s*3(y)oF-7$$\"3O****\\73\"o'=F1$ !3!z\\pz1ZD!oF-7$$\"3K**\\(oz;)*=#F1$!3Xxx+>,:6nF-7$$\"3%4+++&*44]#F1$ !3GR$**)QQ5@mF-7$$\"38++DJw/>GF1$!3yBWEMD&p_'F-7$$\"3(3+v=(4bMJF1$!3'> <1MM'F-7$$\"3U++Dc3ucPF1$!3=D\\R#o urB'F-7$$\"3++++];$R0%F1$!3g9he**Q[ThF-7$$\"3O+](=-*zqVF1$!3md()G[6TPg F-7$$\"3K+]7G:3uYF1$!3r%zIX]Be$fF-7$$\"3++++++++]F1$!3sYRtXQ]CeF--%'CO LOURG6&%$RGBG$\"*++++\"!\")$F*F*Fb[l-F$6$7S7$F($!3y+Ou8c4KkF-7$F/$!3l$ QKbF-[S'F-7$F5$!3[h(Q*=LQ!Q'F-7$F:$!3U%Qa[dc@N'F-7$F?$!3N\"[S@A/HK'F-7 $FD$!378k/sS$HH'F-7$FI$!3GOf2[_OkiF-7$FN$!3pN%R)H5(RB'F-7$FS$!3mW,6%\\ Y;?'F-7$FX$!3u`2Y\\B]ohF-7$Fgn$!3'[&*oGFCM8'F-7$F\\o$!3aL)=ib!o,hF-7$F ao$!3iF3=^M(\\1'F-7$Ffo$!32N,fip0FgF-7$F[p$!3q$fE?U!\\*)fF-7$F`p$!3Ym& )GPS[afF-7$Fep$!3?40@_%G<\"fF-7$Fjp$!3A9\"fbuGX(eF-7$F_q$!3RpHAe65IeF- 7$Fdq$!3kyY$*yur*y&F-7$Fiq$!3**oA?GRCWdF-7$F^r$!3mRAp5fy*p&F-7$Fcr$!3+ KgC_B<_cF-7$Fhr$!3K.\\s-ZK2cF-7$F]s$!3!>R)RADsdbF-7$Fbs$!3jctG%HE[]&F- 7$Fgs$!3-#)GVG4idaF-7$F\\t$!3kI5KXhS0aF-7$Fat$!3%GT6i$))4]`F-7$Fft$!3= <\")>^*GYH&F-7$F\\u$!3$eK]!ovlR_F-7$Fau$!35P09&[+r<&F-7$Ffu$!3%\\M)=ms ]>^F-7$F\\v$!35T7U46bc]F-7$Fav$!3E#e:\">S=)*\\F-7$Ffv$!3s[8^0I#H$\\F-7 $F[w$!3-)o:qQ@,([F-7$F`w$!3#4ID%\\l,.[F-7$Few$!32J7D#=dft%F-7$Fjw$!3'f '=p.X?kYF-7$F_x$!3IUnr(G%f$f%F-7$Fdx$!319Le/Q&)>XF-7$Fix$!3K(3hos\">XW F-7$F^y$!3y^(\\oQR_P%F-7$Fcy$!3ic(4iM$[$H%F-7$Fhy$!3yT@1-@$*=UF-7$F]z$ !38M#)f,y'z8%F-7$Fbz$!3)R(HXJr0fSF-7$Fgz$!3)*\\#z^^EF(RF-F[[l-F$6$7S7$ F($!3OQRCqSlXWF-7$F/$!3*fPDc2AVU%F-7$F5$!3/?jo&QV_S%F-7$F:$!3Ml+1>w>$Q %F-7$F?$!3+)*4;)*)f.O%F-7$FD$!3M/K)\\TrpL%F-7$FI$!3o3(3mk&o9VF-7$FN$!3 'Ga,7y&)4H%F-7$FS$!3Ob`He>zlUF-7$FX$!3\"*=Ws.9(*RUF-7$Fgn$!385g6^wl7UF -7$F\\o$!3Q(R\"4'=_z=%F-7$Fao$!3)GCA75)RfTF-7$Ffo$!3\"fw/=X>*HTF-7$F[p $!3)4p==CH25%F-7$F`p$!3Sv[JAJatSF-7$Fep$!3\\6nuU%e./%F-7$Fjp$!3G)=PRa. :,%F-7$F_q$!3uxl[.Q1xRF-7$Fdq$!3)oL-;[zd%RF-7$Fiq$!3#f*)>W*ed5RF-7$F^r $!3Ii!G)QI=wQF-7$Fcr$!3<&=ggCw$RQF-7$Fhr$!3^*eZOeLZ!QF-7$F]s$!3Y.`tizW mPF-7$Fbs$!3KruIpXlDPF-7$Fgs$!33(GO(*e!G*o$F-7$F\\t$!3UK>O!o!3\\OF-7$F at$!3&yaRDNRlg$F-7$Fft$!3#o\\,lK9Rc$F-7$F\\u$!3(Q:*RsPr@NF-7$Fau$!3c\" [$ol1utMF-7$Ffu$!3>]VS_FiHMF-7$F\\v$!3ox^*Hw]9Q$F-7$Fav$!3)e$3*yRToL$F -7$Ffv$!3')>RxsB-(G$F-7$F[w$!3]AQyo39RKF-7$F`w$!3)G#3d4Z/)=$F-7$Few$!3 Zh/eDF0PJF-7$Fjw$!3UYS5!QqD3$F-7$F_x$!3x[.#3?O!HIF-7$Fdx$!3=&fBr#f@tHF -7$Fix$!36QRkQ1z;HF-7$F^y$!3w7%Rs.6S'GF-7$Fcy$!3RW6)zlLC!GF-7$Fhy$!3'p *\\=znQYFF-7$F]z$!3#e!QSoOj&o#F-7$Fbz$!3Y8//,'Rli#F-7$Fgz$!3CWDQ3f-iDF -F[[l-F$6$7S7$F($!3G*)RFg(Rr\"HF-7$F/$!3/2[N'\\N5!HF-7$F5$!3!fhU;&*Qm) GF-7$F:$!39HTo?8,qGF-7$F?$!3y<,%RG&z_GF-7$FD$!3WcK2ANiFF-7$Fg n$!3?+r:3VnTFF-7$F\\o$!3hy\"eq5EJs#F-7$Fao$!3g]`<([-\"3s5b)4f#F-7$F_q$!3g(Hs;jj_c#F-7$Fdq$!3,W53p'=>a#F-7$Fiq$!3v]r toBn:DF-7$F^r$!3USt,*fa+\\#F-7$Fcr$!3m.FinamiCF-7$Fhr$!3\"of)QHA\"pV#F -7$F]s$!3$o^***R*z%3CF-7$Fbs$!3;E8&oN>#yBF-7$Fgs$!3AETfNrE^BF-7$F\\t$! 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