(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the solution to the ODE via the power series:

[tex] y = \Sigma_{i=0} a_j x^{2j + m} [/tex]

2. Relevant equations

[tex] y' - y^3 = 0 [/tex]

3. The attempt at a solution

I get

[tex] \Sigma_{i=0} a_j (2j+m) x^{2j+m-1} - \Sigma_{i=0} (a_j)^3 x^{3(2j + m)} [/tex] = 0

I don't know how to deal with the cubic part. No matter where I start my series I can't get the recursion relation without x

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# Homework Help: Cubic ODE: Series solution

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