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Solving forth order nonlinear ode

  1. Jul 10, 2008 #1
    I want to find exact solution of a nonlinear ode with its boundary conditions . the equation
    and its b.cs are written below :

    a*y''''+y''' y -y'' y' = 0 y(h/2)=V1 , y(-h/2)=V2 , y'(h/2)=0 , y'(-h/2)=0

    where V1 , V2 , a and h are constant .

    although with integerating from above equation , the order of ode reduce to 3 but the problem is until unsolveable .

    after integrating from above equation we have : a y''' +y'' y -y'^2 =C
    where C is constant .
  2. jcsd
  3. Jul 10, 2008 #2


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    In general, you won't be able to find exact solutions to non-linear diff.eqs; you'll need to solve it numerically.
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