Dear all,
I am wondering if anyone knows the solution to the following nonlinear ODE,
\left( -3 + \frac{ f(r) f'(r)}{r} \right)(1+ f'(r)^2 ) + f(r) f''(r) = 0
subject to the initial conditions f(R) = f(-R) = f_0.
I have a feeling a closed form solution exists to this ODE because I...
Dear all,
If someone could help me solve this mathematica NDSolve problem, that would be really nice. Here is a related, simpler problem to the one I am having. Suppose I want to solve the nonlinear ODE
\left(2 r + f(r) f'(r) \right) (1 + f'(r)^2) + r f(r) f''(r) = 0
subject to the...