{VERSION 4 0 "IBM INTEL NT" "4.0" }
{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 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 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 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }}{PARA 7 "" 1 "" 
{TEXT -1 80 "Warning, the protected names norm and trace have been red
efined and unprotected\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Teht
\344v\344 1:" }{MPLTEXT 1 0 160 "A:=linalg[matrix](3,3,[exp(x),x*exp(x
),x^2*exp(x),diff(exp(x),x),diff(x*exp(x),x),diff(x^2*exp(x),x),diff(e
xp(x),x,x),diff(x*exp(x),x,x),diff(x^2*exp(x),x,x)]);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%\"AG-%'matrixG6#7%7%-%$expG6#%\"xG*&F-\"\"\"F*F/
*&)F-\"\"#F/F*F/7%F*,&F*F/F.F/,&F.F2F0F/7%F*,&F*F2F.F/,(F*F2*(\"\"%F/F
-F/F*F/F/F0F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "det(A);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$)-%$expG6#%\"xG\"\"$\"\"\"\"\"#" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Teht\344v\344 2:" }{MPLTEXT 1 0 
154 "B:=linalg[matrix](3,3,[sin(x),sin(2*x),sin(3*x),diff(sin(x),x),di
ff(sin(2*x),x),diff(sin(3*x),x),diff(sin(x),x,x),diff(sin(2*x),x,x),di
ff(sin(3*x),x,x)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"BG-%'matrix
G6#7%7%-%$sinG6#%\"xG-F+6#,$F-\"\"#-F+6#,$F-\"\"$7%-%$cosGF,,$-F8F/F1,
$-F8F3F57%,$F*!\"\",$F.!\"%,$F2!\"*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 27 "evalf(subs(x=Pi/2,det(B)));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$!#;\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "Teht
\344v\344 3:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 57 "dy1:=x
^2*D(D(y))(x)+(4*x-2*x^3)*D(y)(x)+(2-4*x^2)*y(x)=0;" }{TEXT -1 0 "" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dy1G/,(*&)%\"xG\"\"#\"\"\"---%#@@G6
$%\"DGF*6#%\"yG6#F)F+F+*&,&F)\"\"%*&F*F+)F)\"\"$F+!\"\"F+--F1F2F4F+F+*
&,&F*F+*&F7F+F(F+F;F+-F3F4F+F+\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "dsolve(dy1,y(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
/-%\"yG6#%\"xG,&*&%$_C1G\"\"\"*$)F'\"\"#F+!\"\"F+*&*&%$_C2GF+-%$erfG6#
*$-%%sqrtG6#,$*$F-F+F/F+F+F+*&F'F+-F86#F:F+F/F+" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 43 "dy2:=2*x*D(D(y))(x)+(1-2*x)*D(y)(x)-y(x)=0;" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dy2G/,(*&%\"xG\"\"\"---%#@@G6$%\"D
G\"\"#6#%\"yG6#F(F)F0*&,&F)F)*&F0F)F(F)!\"\"F)--F/F1F3F)F)-F2F3F7\"\"!
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(dy2,y(x));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG,&*&%$_C1G\"\"\"-%$expGF
&F+F+*(%$_C2GF+-%$erfG6#*$-%%sqrtG6#F'F+F+F,F+F+" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 47 "dy3:=D(D(y))(x)-2*alpha*D(y)(x)+alpha^2*y(x)=
0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dy3G/,(---%#@@G6$%\"DG\"\"#6#
%\"yG6#%\"xG\"\"\"*(F-F2%&alphaGF2--F,F.F0F2!\"\"*&)F4F-F2-F/F0F2F2\"
\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(dy3,y(x));" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG,&*&%$_C1G\"\"\"-%$expG
6#*&%&alphaGF+F'F+F+F+*(%$_C2GF+F,F+F'F+F+" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 54 "dy4:=(D@@4)(y)(x)+2*alpha^2*D(D(y))(x)+alpha^4*y(x)
=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$dy4G/,(---%#@@G6$%\"DG\"\"%6
#%\"yG6#%\"xG\"\"\"*(\"\"#F2)%&alphaGF4F2---F*6$F,F4F.F0F2F2*&)F6F-F2-
F/F0F2F2\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "dsolve(dy4
,y(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG,**&%$_C1G\"
\"\"-%$sinG6#*&%&alphaGF+F'F+F+F+*&%$_C2GF+-%$cosGF.F+F+*(%$_C3GF+F,F+
F'F+F+*(%$_C4GF+F3F+F'F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
1 " " }}}}{MARK "6 0 0" 10 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }