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Ordinary differential equations

  1. Nov 28, 2013 #1
    Consider the first order differential equation
    dy/dt = f(t,y)= -16t^3y^2, with the inital condition y(0)=1.
    Estimate the lipschitz derivative for the differential equation by substituting the exact solution into ∂f/∂y.

    =I found the exact solution by using the separable of variable and doing integration
    which is y(t)= (4t^4 +1)^-1
    And also i found the ∂f/∂y = -32yt^3
    The question ask about by substituting the exact solution into ∂f/∂y to estimate the lipschitz derivative. I don't know how to substitute.
    Does anyone knows about lipschitz derivative?

    Help me Please.
     
  2. jcsd
  3. Nov 28, 2013 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    1) Read your textbook; or
    2) Google 'lipschitz derivative'.
     
  4. Nov 28, 2013 #3
    I can not find it. So, i was asking for help.
     
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