{VERSION 3 0 "SUN SPARC SOLARIS" "3.0" }
{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 0 119 "eqs11:=i1(t)=i2(t)+
i3(t),\n10*diff(i2(t),t)+30*Q(t)-20*diff(i3(t),t)=0,\ni2(t)=diff(Q(t),
t),\n1*i1(t)+20*diff(i3(t),t)=10;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 
"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "init11:=Q(0)=0, i1(0)=
0, i2(0)=0, i3(0)=0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "s11
:=dsolve(\{eqs11,init11\}, \{Q(t),i1(t),i2(t),i3(t)\}, method=laplace)
;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "plot(rhs(s11[3]), t=0.
.9);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "solve(2*z^3+3*z^2+6
*z+3,z);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "sde:=diff(x(t),t,t)=-x(t)+y(
t)-x(t)-diff(x(t),t),\n     diff(y(t),t,t)=-(y(t)-x(t))-diff(y(t),t);
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "ise:=x(0)=0, D(x)(0)=1,
 y(0)=0, D(y)(0)=0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "ses:
=dsolve(\{sde,ise\},\{x(t),y(t)\}, numeric);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 7 "ses(1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(inttrans);" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "laplace(t,t,s);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "laplace(exp(6*t),t,s);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "laplace(cos(2*t),t,s);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "laplace(exp(2*t)*cos(3*t),t,
s);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "laplace(t^2,t,s);" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "laplace(t*exp(3*t),t,s);" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "laplace(cos(b*t),t,s);" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "laplace(exp(-t)*sin(2*t),t
,s);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plot(Heaviside(t),t
=-1..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "laplace(Heavisi
de(t-2)*t,t,s);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "plot(Hea
viside(t-2)*t,t=0..4);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "l
aplace((1-Heaviside(t-1))*(1-t),t,s);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 58 "plot((1-Heaviside(t-1))*(1-t),t=0..2,scaling=constrai
ned);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "laplace((1-Heavisi
de(t-3))*exp(3*t) +(Heaviside(t-3))*1,t,s);" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 66 "plot((1-Heaviside(t-3))*exp(3*t)+(Heaviside(t-3)),
t=0..6);exp(9.);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "laplace
((1-Heaviside(t-Pi))*sin(t),t,s);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 40 "plot((1-Heaviside(t-Pi))*sin(t),t=0..5);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "laplace(6*exp(-3*t)-t^2+2*t-8,t,s);
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "laplace(exp(-2*t)*cos(s
qrt(3)*t)-t^2*exp(-2*t),t,s);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 30 "alias(laplace(y(t),t,s)=Y(s));" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 42 "laplace(diff(y(t),t,t)+y(t)=sin(2*t),t,s);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "subs(\{y(0)=1,D(y)(0)=-1\},%
);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "solve(%,laplace(y(t),
t,s));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "invlaplace(%,s,t)
;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "plot(%,t=0..33);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "sol:=dsolve(\{diff(y(t),t,t)
+diff(y(t),t)/20+y(t)=exp(-t)*sin(t), y(0)=0, D(y)(0)=0\}, y(t));" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot(rhs(sol),t=0..16);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 23 "plot(rhs(sol),t=0..16);" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 81 "dsolve(\{diff(y(t),t,t)+y(t)=sin(2*t), y(0)=1, D(y)
(0)=-1\}, y(t), method=laplace);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 27 "u1:=int(sin(t)*sin(2*t),t);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 27 "u2:=int(cos(t)*sin(2*t),t);" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 20 "u1*cos(t)+u2*sin(t);" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 68 "(-1/2*sin(t)+1/6*sin(3*t))*cos(t)+(-1/6*cos(3*
t)-1/2*cos(t))*sin(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "d
e:=diff(y(t),t,t)+8*sqrt(2)*diff(y(t),t)+32*y(t);" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 32 "dsolve(de,y(t), method=laplace);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 31 "invlaplace((-s+2)/(s^2-2),s,t);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "dsolve(\{diff(x(t),t)=x(t)+y(t), di
ff(y(t),t)=x(t)-y(t), x(0)=1, y(0)=-1\}, \{x(t),y(t)\});" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "convert(%%,trig);" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "53" 0 }{VIEWOPTS 1 1 0 2 1 
1805 }