Adam: How to solve this second order differential equation?
I have to solve this second order differential equation using 3 different methods:

xy” – y’ = 3x^2

I’ve solved it using two methods already:
1) Cauchy-Euler + variation of parameters method
2) Linear DE by integrating factor
3) ???

I can’t figure out a third way to solve it. Any help would be greatly appreciated.

Best answer:

Answer by le_cheveulu
Calculate (y’/x)’ and you will find a third way!

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