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

x^2 y' + xy + 5x^5=0

2. Relevant equations

no starting conditions

3. The attempt at a solution

cannot figure out how to do this. Euler's equations methods have no pure x terms, and the non-homogenous methods have some kind of separable thing, where the x terms neatly land up on RHs and y terms on LHS. But what do i do with this? Is it the polynomial expansion or maybe some kind of taylor series?

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# Euler's rule or Non-homogenous method?

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