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Math Help - Question is crazy! Hopefully it doesn't come up in exam...any help?

  1. #1
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    Question is crazy! Hopefully it doesn't come up in exam...any help?

    You are given the following two-point boundary value problem:

    -(d/dx)(y*(e^x))+2y*(e^x)=(2-x)*(e^x), y(0)=y(1)=0

    Simplify the equation and show that if the finite difference method is applied to the above problem, the resulting difference equation is:

    -[(2-h)yi-1]+[4(1+h^2)yi]-[(2+h)yi+1]=2h^2(2-xi)
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  2. #2
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    Re: Question is crazy! Hopefully it doesn't come up in exam...any help?

    Why "crazy"? It looks pretty close to "easy" to me. Once you have applied the product rule to d/dx(ye^x) you can divide through by e^x and the equation is very simple. I presume you know what a "finite difference method" is.
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    Re: Question is crazy! Hopefully it doesn't come up in exam...any help?

    i'll give it a go
    Last edited by KayAB; August 16th 2012 at 08:49 AM.
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  4. #4
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    Re: Question is crazy! Hopefully it doesn't come up in exam...any help?

    i get y-(2-x)=0
    Last edited by KayAB; August 16th 2012 at 09:32 AM.
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