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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 31 "Graphs for Section 6.4 Homework" }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 11 "Problems 2:" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 37 "h:=Heaviside(t-Pi)-Heaviside(t-2*Pi);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "DE02:=diff(y(t),t$2)+2*diff(
y(t),t)+2*y(t)=h;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "Y:=dso
lve(\{DE02,y(0)=0,D(y)(0)=0\},y(t),method=laplace);" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 48 "plot([rhs(Y),h],t=0..3*Pi,color=[black, g
reen]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 9 "Problem 4" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "h:=sin(t)+Heaviside(t-Pi)*sin(t-2*P
i);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "DE04:=diff(y(t),t$2)
+4*y(t)=h;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "Y:=dsolve(\{D
E04,y(0)=0,D(y)(0)=0\},y(t),method=laplace);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 48 "plot([rhs(Y),h],t=0..4*Pi,color=[black, green]);
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9 "Problem 6" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 18 "h:=Heaviside(t-2);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 45 "DE06:=diff(y(t),t$2)+3*diff(y(t),t)+2*y(t)=h;" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "Y:=dsolve(\{DE06,y(0)=0,D(y)
(0)=1\},y(t),method=laplace);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 48 "plot([rhs(Y),h],t=0..3*Pi,color=[black, green]);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 9 "Problem 9
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{MPLTEXT 1 0 45 "h:=(t/2)*(1-Heaviside(t-6))+3*Heaviside(t-6);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "DE09:=diff(y(t),t$2)+y(t)=h;
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,D(y)(0)=1\},y(t),method=laplace);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 46 "plot([rhs(Y),h],t=0..13,color=[black, green]);" }}}
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{MPLTEXT 1 0 52 "h:=1+2*sum('((-1)^k)*Heaviside(t-k*Pi)', 'k'=0..15);
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "plot(h,t=0..60);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "DE19:=diff(y(t),t$2)+y(t)=h;
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,D(y)(0)=0\},y(t),method=laplace);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 21 "plot(rhs(Y),t=0..60);" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "Problem 21" }}{PARA 0 "" 
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um('((-1)^k)*Heaviside(t-k*Pi)', 'k'=0..15);" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 16 "plot(h,t=0..60);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "DE21:=diff(y(t),t$2)+y(t)=h;" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 55 "Y:=dsolve(\{DE21,y(0)=0,D(y)(0)=0\},y(t),method=
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