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?