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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 47 "  second-order ODE:  y'' +4y = two exponentials" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 32 "clear workspace & load ODE stuff" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 14 "with(DEtools):" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 30 "define right-side fo
rcing term" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "g := exp(-2*t
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0 "" {TEXT -1 16 "general solution" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 51 "gsol := dsolve([diff(y(t),t,t) + 4*y(t) = g],y(t));" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "simplify(gsol);" }}}
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