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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 52 "Solving second order diff
erential equations by Maple" }}{PARA 19 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Consider the differential equation
s" }}{PARA 256 "" 0 "" {XPPEDIT 18 0 "diff(y(x),x$2) - 4*diff(y(x),x)=
0" "6#/,&-%%diffG6$-%\"yG6#%\"xG-%\"$G6$F+\"\"#\"\"\"*&\"\"%F0-F&6$-F)
6#F+F+F0!\"\"\"\"!" }{TEXT -1 1 "," }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 257 "" 0 "" {XPPEDIT 18 0 "diff(y(x),x$2) + 2*diff(y(x),x) + y(x
)=0" "6#/,(-%%diffG6$-%\"yG6#%\"xG-%\"$G6$F+\"\"#\"\"\"*&F/F0-F&6$-F)6
#F+F+F0F0-F)6#F+F0\"\"!" }{TEXT -1 1 "," }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}{PARA 0 "" 0 "" {TEXT -1 3 "and" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 258 "" 0 "" {XPPEDIT 18 0 "diff(y(x),x$2) - 2*diff(y(x),x) + 5
*y(x) =0" "6#/,(-%%diffG6$-%\"yG6#%\"xG-%\"$G6$F+\"\"#\"\"\"*&F/F0-F&6
$-F)6#F+F+F0!\"\"*&\"\"&F0-F)6#F+F0F0\"\"!" }{TEXT -1 1 "." }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 94 "All these differe
ntial equations can readily be solved by Maple.  Computation goes as f
ollows:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 171 "Dequation1 := d
iff(y(x),`$`(x,2))-4*diff(y(x),x) = 0; Dequation2:=diff(y(x),`$`(x,2))
+2*diff(y(x),x)+y(x) = 0; Dequation3 := diff(y(x),`$`(x,2))-2*diff(y(x
),x)+5*y(x) = 0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "dsolve(
Dequation1,y(x));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "dsolve
(Dequation2,y(x));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "dsolv
e(Dequation3,y(x));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
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