Question

Find the general solution to the differential equation. Prime denots derivative with respect to x. (x+y)y'=x-y
The answer is x^2-2yx-y^2 I'm a little confused as to how to sub. I'm pretty sure that this uses Beroulli equation.

Answer 1

write y' as dy/dx .. and bring both to same side and see if you see something.

Answer 2

I get \[\frac{ dx }{ dy } = \frac{ x }{ x+y } - \frac{ y }{ x+y }\]
I should move the y/x+y to the other side andmove the dx and dy?

Answer 3

*dy/dx

Answer 4

does this ring the bell?