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Here is the initial problem where one is asked to find the general solution;

I know there are at least 4 different approaches to this problem, but nearly all will not work well on other similar problems. However, from what I can understand the "Variation of Parameters" technique can be used to solve almost any differential Equation problem in this format so long as you do not encounter an impossible-to-solve integral EXA:{ln(ln(x))}

That being said; here is my attempt at the problem using "Variation of Parameters";

Simple question; Did I do it right? If not where did I screw up?