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.

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.

experimentx · Answer

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

anonymous · Answer

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?

anonymous · Answer

*dy/dx

experimentx · Answer

|dw:1361139727639:dw|
does this ring the bell?