(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find an integrating factor for the first order linear differential equation

[itex] \frac{dy}{dx} - \frac{y}{x} = xe^{2x} [/itex]

and hence find its general solution

2. Relevant equations

3. The attempt at a solution

I found the integrating factor which is [itex]e^{-lnx} = x^{-1}[/itex]

and multiplying the equation with the integrating factor, will result in:

[itex]\frac{1}{x} \frac{dy}{dx} - \frac{y}{x^2} = e^{2x}[/itex]

how do I go on from here?

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# Homework Help: Integrating Factor for First Order Linear Differential Equation

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