# Math Help - general solution

1. ## general solution

Find the general solution of the equation dy/dx = (x + 4y)/(2x - y)

2. Originally Posted by matty888
Find the general solution of the equation dy/dx = (x + 4y)/(2x - y)
Divide the numerator and denominator of the right hand side by x.

The standard technique is to now make the substitution $y = xv \Rightarrow \frac{dy}{dx} = v + x \frac{dv}{dx}$.

You are almost certain to have an example of this technique in your class notes or textbook.