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Seperation of variables - first order PDE

  • Thread starter Niles
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[SOLVED] Seperation of variables - first order PDE

1. Homework Statement

I have the expression X'(x)/X(x) = cx. How do I seperate 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".
 
Last edited:

Answers and Replies

Dick
Science Advisor
Homework Helper
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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.
 
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