# general solution

• Mar 30th 2009, 05:38 AM
matty888
general solution
Find the general solution of the equation dy/dx = (x + 4y)/(2x - y)
• Mar 30th 2009, 05:45 AM
mr fantastic
Quote:

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.