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Very Tough Nonlinear First Order Differential Equation

  1. Sep 25, 2008 #1
    1. y' = a*(y^n) + c

    a, n and c are constants. Any idea about this problem ? How can it be solved ?

    i think there is no analytic solution

    thanks for your help in advance
  2. jcsd
  3. Sep 25, 2008 #2
    There are a couple of ways to solve this; power series method if you only need to solve to a specified power. Otherwise use the fact that the diff eqn is seperable and you get left with dy/(a*y^n + c) = dx , not an easy integral but if you are given specific values of your constants you will have a better chance.
  4. Sep 25, 2008 #3
    yes it is seperable. But this integral is tought too :)
  5. Sep 25, 2008 #4
    matlab cant solve it.

    Should i trust matlab and not keep on trying to solve this ??
  6. Sep 25, 2008 #5
    As i said with arbitary n the integral is very difficult and you won't get very far with a pen and paper (if you want an exact solution).
    I plugged this into the integrator and it gave me a solution, i haven't got access to matlab to try on that
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