Seperation of variables - first order PDE

[Niles]

[SOLVED] separation of variables - first order PDE

Homework Statement

I have the expression X'(x)/X(x) = cx. How do I separate the variables? It's the fraction on the left side that annoys me.

I know that X'(x) = d(X(x))/dx, but I can't use this here?

EDIT: Sorry for the mis-spelled title. It's "separation".

 

[Dick]

The variables are X and x and they are basically already separated. The left side is (1/X)dX/dx. Move the dx to right getting d(X)/X=cxdx and integrate.

 

[Niles]

Thanks.