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Homework Statement
Find an integrating factor for the first order linear differential equation
\frac{dy}{dx} - \frac{y}{x} = xe^{2x}
and hence find its general solution
Homework Equations
The Attempt at a Solution
I found the integrating factor which is e^{-lnx} = x^{-1}
and multiplying the equation with the integrating factor, will result in:
\frac{1}{x} \frac{dy}{dx} - \frac{y}{x^2} = e^{2x}
how do I go on from here?