It looks simple enough:(adsbygoogle = window.adsbygoogle || []).push({});

y'' + x*y = x^2

However, I tried and I could not find a nontrivial solution to the homogeneous equation:

y'' + x*y = 0

Am I right in thinking you need to solve this with series?

No need to actually do it, I just need to know if it is possible otherwise (like variation of parameters or something else).

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# 2nd order DE, is there a way to solve this without series?

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