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How can I go about solving a differential equation of the form $y'+\frac{p(x)}{y}=q(x)$.

Thanks in advance.

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At least in the special case that $p(x) = q(x)$, the equation is separable. – Bitrex Jun 1 '13 at 19:20

Multiply by $y$ and you will get and Abel differential equation of the second kind : $$y\,y'=q(x)\,y-p(x)$$

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