Hi, I just need help with taking the derivative of the substition factor. From there I can (hopefully) get the rest.

DE:

$\displaystyle x^3 \dfrac{dy}{dx} + x^2y+x=3e^{xy}$

Change of variable given in problem:

$\displaystyle z=e^{xy}$

Is this part right, usually the right side of this only has a $\displaystyle y$, so im not quite sure what to do. Thanks.

$\displaystyle \dfrac{d}{dx}[z=e^{xy}]$

$\displaystyle \dfrac{dz}{dx}=ye^{xy}\dfrac{dy}{dx}$