Question

Find the general solution of the differential equation (1/x)y'=e^x^2

Answer 1

Multiply through by x,
\[\Large\bf\sf \frac{dy}{dx}\quad=\quad x e^{x^2}\]Separate the differentials,\[\Large\bf\sf dy\quad=\quad x e^{x^2}\;dx\]

Answer 2

And from there we integrate! :)
Looks like a simple `u-substitution`.
Remember how to do that?

Answer 3

yes, thank you