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I'm in second year of college (Programming and Games Development) and I have a calculus exam tomorrow.

I am trying to revise over first ode $$x \frac{dy}{dx} - y = x^2 $$ and I have a maths problem I can't solve.

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I can't solve it and I've looked at MANY videos online but none of them were any help.

Kind regards, Alex.

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    Could you explain that a bit more in depth please? – 2017-01-09

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Denote $y'={dy\over dx}$ and divide the equation by $x^2$ (integrating factor $1/x^2$), keeping in mind $x'=1$ to get

$${xy'-yx'\over x^2}=\left({y\over x}\right)'=1$$

And so with $C$ a constant

$${y\over x}=x+C$$