# Substitution Differential Equation

## Homework Statement

Solve the given initial value problem.

## Homework Equations

$$ydx + x(lnx - lny - 1)dy = 0$$

## The Attempt at a Solution

I am confused as to what to do as I can't just substitute y=ux or x=vy because they are not homogeneous of the same degree. And I can't use exact because:

$$\frac{\partial M}{\partial y} \neq \frac{\partial N}{\partial x}$$

Dick