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Question: Solving differential equation, result must be recursive.

Question:Solving differential equation, result must be recursive.

Seb1123 45 Maple
August 24 2017
1

Hey!

 

I have the following Diff. EQ. which I wish to solve:

 

EQ:=(3*x)*(diff(y(t),t,t)+y(t)=0

 

Where y(t) = sum(c[n]*x^n,n=0..infinity)

 

The result should be the following c[n+1] = -c[n]/(3*(n+1))

 

How would I solve this in Maple? Is there any package which can do this? Thank you! 
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