lve the given differential equation by means of a power series about the given point x0. Find the recurrence relation; also find the first four terms in each of two linearly independent solutions (unless the series terminates sooner). If possible, find the general term in each solution. I did not how this question was solved like this. I do not understand why when a(n+3)=-nan/(n+2)(n+1) a3=a4=a5=.....=0. Please help me go over this question. thank you.    The origin equation is y''+xy'=0 x0=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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olve the given differential equation by means of a power series about the given point x0. Find the recurrence relation; also find the first four terms in each of two linearly independent solutions (unless the series terminates sooner). If possible, find the general term in each solution.

I did not how this question was solved like this. I do not understand why when a(n+3)=-nan/(n+2)(n+1) a3=a4=a5=.....=0. Please help me go over this question. thank you. 

 

The origin equation is y''+xy'=0 x0=0

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