I have recently come across an interesting second order non-linear homogeneous DE whose form I cannot seem to find a general solution to. It loos like such:
Where B(x) is a arbitrary function. Has anyone seen this before or have any hints?
You're right! I'm embarrassed that I missed that .
Thank you, sir.
(Although interestingly, alpha couldn't solve it either f''(x) + b(x)*f'(x) + b'(x)*f(x) = 0 - Wolfram|Alpha)
As to Ackbeet, from what I understand, and from what alpha seems to confirm, if B(x) could be non-linear, then the equation is non-linear. Please correct me if I'm wrong! (I could never quite get this straight in school)