Recent content by drcameron

Many thanks, using a more appropriate substitution helps a lot. The second equation then just fell into place for me as a result.

Many thanks to both of you for your help, For some reason I had convinced myself to use y=u+x as a substition - its easy to see where i went wrong then!

Homework Statement Find the general solution of the following homogeneous differential equations: (i) \frac{du}{dx} = \frac{4u-2x}{u+x} (ii) \frac{du}{dx} = \frac{xu+u^{2}}{x^{2}} (You may express your solution as a function of u and x together) Homework Equations There are no...

I was wondering if some-one could give me some advice on how to complete the following equation: \frac{du}{dx} = \frac{4u-2x}{u+x} Whenever I try to complete it I get a function which I don't think should be integratible. Could some light be shed onto this matter?