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    general solution

    Find the general solution of the equation dy/dx = (x + 4y)/(2x - y)
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    Quote Originally Posted by matty888 View Post
    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.
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