How do you solve the ODE dy/dx=1/(y+x)?

Just had an exam and I got stuck with this DE dy/dx=1/(y+x) or -dx+(x+y)dy=0 The homogeneous test doesn't work, I can't normalize it, I cant separate it. I tried doing almost exact formula (My-Mx)/M or N but it gave me an integrating factor of e^x or e^-y, which didn't work. Please help me solve... show more Just had an exam and I got stuck with this DE

dy/dx=1/(y+x)

or

-dx+(x+y)dy=0

The homogeneous test doesn't work, I can't normalize it, I cant separate it. I tried doing almost exact formula (My-Mx)/M or N but it gave me an integrating factor of e^x or e^-y, which didn't work.

Please help me solve this differential equation!
2 answers 2