Power Series Solutions with Maple

The following Maple commands may be used to check your solution:

$|\^/| Maple 8 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) 2002 by Waterloo Maple Inc. \ MAPLE / All rights reserved. Maple is a registered trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > deq:=x*diff(y(x),x$2)+2*x*diff(y(x),x)+6*exp(x)*y(x)=0; / 2 \ |d | /d \ deq := x |--- y(x)| + 2 x |-- y(x)| + 6 exp(x) y(x) = 0 | 2 | \dx / \dx / > dsolve(deq,y(x),type=series); / 2 47 3 191 4 913 5 6 \ / y(x) = _C1 x |1 - 4 x + 17/3 x - -- x + --- x - ---- x + O(x )| + _C2 | \ 12 120 1800 / \ / 2 3 4 191 5 6 \ ln(x) | - 6 x + 24 x - 34 x + 47/2 x - --- x + O(x )| \ 20 / / 2 3 4 11109 5 6 \\ + |1 - 2 x - 25 x + 127/2 x - 469/8 x + ----- x + O(x )|| \ 400 // > quit; bytes used=1329496, alloc=1179432, time=0.10$

Last Updated: Thu Apr 24 16:32:57 PDT 2003