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Math Help - numerical analysis

  1. #1
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    numerical analysis

    please help me in solving this 2nd order differential equations...thanks in advance
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  2. #2
    Senior Member TriKri's Avatar
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    Quote Originally Posted by nirvanakris View Post
    please help me in solving this 2nd order differential equations...thanks in advance
    Well, since they have been so nice and given you the solution I guess you can assume that it will be on the form u=e^{Ax+Bt}, where A and B are constants.

    \frac{du}{dt}=Be^{Ax+Bt}
    \frac{du}{dx}=Ae^{Ax+Bt}
    \frac{d^2u}{dx^2}=A^2e^{Ax+Bt}

    From here it is just put substitute the terms in the equation that is given, with the right hand sides here, and solve the equation

    Unfortunately, you have two unknown but only one equation, so you are one equation short. I guess something is missing in the problem statement.
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