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Math Help - [SOLVED] Laplace’s equation

  1. #1
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    [SOLVED] Laplace’s equation

    Hi Can some please help me:

    Question:

    [SOLVED] Laplace’s equation-untitled.jpg

    my Work:

    [SOLVED] Laplace’s equation-answer.jpg

    for Part A Find g(x,y) - I don't know how to find this out.

    for Part B - Can do this but need help in part A

    Please can some please help me.

    Thanks
    Last edited by SubZero; December 15th 2009 at 12:52 PM.
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  2. #2
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    Can someone please help me. I Just need help to start this question of.
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  3. #3
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    Quote Originally Posted by SubZero View Post
    Can someone please help me. I Just need help to start this question of.
    I think you're on the right track with g(x,y). Sub in your boundary conditions to find \alpha, \beta, \gamma \; \text{and}\; \delta. For f(x,y) try f(x,y) = Y(y)\, \cos 2 \pi x
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  4. #4
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    Quote Originally Posted by Danny View Post
    I think you're on the right track with g(x,y). Sub in your boundary conditions to find \alpha, \beta, \gamma \; \text{and}\; \delta. For f(x,y) try f(x,y) = Y(y)\, \cos 2 \pi x


    thanks for your reply. This is the bit that i am struggling in.

    i got g(x,y)=y+xy

    But this is wrong.

    Can someone please tell me how to sub in the boundary conditions to find \alpha, \beta, \gamma \; \text{and}\; \delta.
    Last edited by SubZero; December 15th 2009 at 01:31 PM.
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  5. #5
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    Quote Originally Posted by SubZero View Post
    thanks for your reply. I did this and

    i got g(x,y)=y+xy

    But i think this is wrong.
    But don't you want both g(0,y) = y and g(1,y) = y. Yours doesn't give that.
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  6. #6
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    Quote Originally Posted by Danny View Post
    But don't you want both g(0,y) = y and g(1,y) = y. Yours doesn't give that.
    yes you are correct. i just saw my mistake.

    Thanks for the help
    Last edited by SubZero; December 15th 2009 at 02:02 PM.
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