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2.) show y=cx^2 - x is a solution of xy' - 2y + x =0

I was trying to separate the variables so i could integrate but i cannot get it to work out.

I have tried so many things from adding 2y to both sides and and multiply by the inverse dx/dy. but no avail

3.) use Integrating factor to solve: xdy - ydx = x^2ydy

I subtracted x^2ydy to left side: and used this value as p(x) for the Int.Fact. but I do not think this is correct either. I cannot figure out what to use as p(x)

dy/dx + p(x)y = f(x)