Equation with partial derivative

Find all the functions f that are continuously differentiable such that:
$\frac{\partial f}{\partial x}-3\frac{\partial f}{\partial y}=0 $

We were given a beneficial hint:
define: u(x,y)= ax + by


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  • I'm not sure how you differentiate f(x,y) if f(x,y)=g((3x+y)/2), in which g is a single variable. Can you show it, please?

    • Martin Martin

      I added the explanation at the end.

The answer is accepted.
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