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Math Help - Heuristic method

  1. #1
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    Heuristic method

    Hi, I need a lot of help here.

    F(a,b,u,u_a,u_b)=0 with initial condition u(a,0). Solving for u_b, find a heuristic derivation of the solution by using taylor series.

    Then use that to find the solution of cu_a+du_b=0 with u(a,0)=a^3

    Thank You for any help.
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  2. #2
    Super Member girdav's Avatar
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    Re: Heuristic method

    Hi, what do we know about F?
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  3. #3
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    Re: Heuristic method

    Quote Originally Posted by girdav View Post
    Hi, what do we know about F?
    F is the most general first-order PDE in two varaibles.

    Can you provide any help or working out. I don't know how to do it.

    Thank You
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