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Solve for y(x).

Due to the coefficients being a function of x, I have no idea where to start to find the homogenous solution (Complementary Function). I know how to proceed after this part with the variation of parameters method.

I just have no idea where to begin to find a solution of this equation, which seems to be the pre-requisite for all solution methods! Do you just used ansatz? If so how would I pick an ansatz?

I'm tearing my hair out here, any help would be greatly appreciated.