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In an attempt to solve the following differential equation, I have come up with an integral that has stumped me.

The differential equation is as follows:

[tex]

\frac{dy}{dx} + \frac{y}{x^2} = 2x [/tex]

Using an integrating factor, I end up with the following:

[tex] y \cdot e^{-\frac{1}{x}} = 2\int xe^{-\frac{1}{x}} dx [/tex]

I cannot solve that right hand integral, I have tried using parts and substitution and I cant really yield anything meaningful... Is it possible to evaluate this integral using basic calculus methods? Or is something else required?

Thanks!!

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# Cheeky integral

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