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

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- Mar 30th 2009, 04:38 AMmatty888general solution
Find the general solution of the equation dy/dx = (x + 4y)/(2x - y)

- Mar 30th 2009, 04:45 AMmr fantastic
Divide the numerator and denominator of the right hand side by x.

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

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