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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 46 "Solving simple differenti
al equations by Maple" }}{PARA 19 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 69 "Examples about diffe
rential equations defined using Maple's language:" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 42 "Dequation1:= diff(y(x),x) = y(x)*x+x+y(x);" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "Dequation2 := diff(y(x),x
$2)+diff(y(x),x) - k*y(x)=0;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 42 "Dequation3 := diff(y(x),x) = sin(y(x)*x); " }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "Maple
 solves the above differential equations by the " }{MPLTEXT 1 0 6 "dso
lve" }{TEXT -1 9 " command:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 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));" }
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" {TEXT -1 233 "Observe that the last dsolve command did not yield any
 output.  That equation cannot be solved by Maple.  Numeric methods ca
n, however, be used to approximate solutions. Numeric methods can, how
ever, be used to approximate solutions." }}}}{MARK "0 0 0" 34 }
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