Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I'm curious about the nonlinear ODEs with an quotient including dependent variable : $$y''(x)+\frac{Ay(x)x}{1+y(x)}+Bx=0$$ Could you give me a clue on solving this equation explicitly?

share|cite|improve this question
Did you create this ODE yourself? Because in general ODEs have no explicit solution. Well if you found it in a textbook it is another problem... – Sebastien B Jan 31 '13 at 14:48
@Sebastien B yes, I modified the question form $$y''(x)+Ay(x)x+B=0.$$ After your response, I see that it was not clever:( Is such a solution only numerically possible? – pcepkin Feb 1 '13 at 9:32
About your equation $y''(x)+\frac{Ay(x)x}{1+y(x)}+Bx=0$, I honestly have no idea whether there is or not an explicit solution. I can just tell you I don't see an obvious solution... – Sebastien B Feb 1 '13 at 10:59

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.