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Hi I'm really stuck with some homework:

Find the general solution of the differential equation,

$$(x+(1/x))\frac{dy}{dx} +2y = 2((x^2)+1)^2$$

So far, I've divided both sides by $x+(1/x)$ and integrated $2y/(x+(1/x))$ to get $y \ln((x^2)+1)$ but have no idea where to go from here.

Anyone know what I need to do next?

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    Hint: Devide both sides by $(x^2+1)$ and see: http://math.stackexchange.com/questions/121669/first-order-differential-equation2012-03-18
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    You can't perform that integration. $y$ is not a constant. Have you learned integrating factors? What should you multiply by to get the left side in the form $(uy)'=uy'+u'y$?2012-03-18

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