{VERSION 2 3 "SUN SPARC SOLARIS" "2.3" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(inttrans);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "? laplace" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 30 "alias(F(s)=laplace(f(t),t,s));" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "laplace(f(t),t,s);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "laplace(diff(f(t),t,t),t,s);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "de:=diff(g(t),t,t)+g(t)=exp(
t)*sin(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "laplace(de,t,
s);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "ts:=solve(\",laplace
(g(t),t,s));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "invlaplace(
ts,s,t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "factor(s^4-2*s^
3+3*s^2-2*s+2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "dsolve(d
e,g(t),laplace);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "sys:=
\{diff(x(t),t)=y(t), x(0)=0, y(0)=1, z(0)=1, D(z)(0)=0, diff(y(t),t)=-
x(t),diff(z(t),t,t)=x(t)+z(t)+sin(2*t)\};" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 17 "laplace(sys,t,s);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 65 "solve(\",\{laplace(x(t),t,s),laplace(y(t),t,s),laplac
e(z(t),t,s)\});" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "invlapla
ce(\",s,t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "dsolve(sys,
\{x(t),y(t),z(t)\},laplace);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 28 "de:=diff(f(t),t,t)+t*f(t)=0;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "dsolve(de,f(t));" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "laplace(t*f(t),t,s);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 35 "dsolve(s^2*q(s)+diff(q(s),s),q(s));" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 30 "invlaplace(exp(-1/3*s^3),s,t);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "de:=diff(x(t),t,t)*8+40*x(t)
=cos(2*t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "init:=x(0)=0,
 D(x)(0)=0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "sol:=dsolve(
\{de,init\},x(t),laplace);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
26 "plot(rhs(sol),t=0..20*Pi);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 12 "sqrt(40./8);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}
}}{MARK "13 0 0" 12 }{VIEWOPTS 1 1 0 3 2 1804 }