Homework Statement
Solve the nonlinear ODE
du/dx=(u+x√(x^2+u^2 ))/(x-u√(x^2+u^2 ))
by changing variables to x=rcos(theta), u=rsin(theta) and converting the equation to one for d(theta)/dr.
The Attempt at a Solution
Not sure if I'm going in the right direction.
du/dx =...