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Math Help - Heat equation solution

  1. #1
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    Heat equation solution

    Hi, Show that s(x,t) = (1/2squareroot(pie*kt))e^(-x^2/4kt) is a solution of the heat equation
    ut = kuxx for t>0.
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    Quote Originally Posted by tbyou87 View Post
    Hi, Show that s(x,t) = (1/2squareroot(pie*kt))e^(-x^2/4kt) is a solution of the heat equation
    ut = kuxx for t>0.
    What exactly is your difficultly? Comute s_t and s_xx and show that they are equal.
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    ok that's what i thought just wanted to make sure i guess
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    Quote Originally Posted by tbyou87 View Post
    Hi, Show that s(x,t) = (1/2squareroot(pie*kt))e^(-x^2/4kt) is a solution of the heat equation
    ut = kuxx for t>0.
    (sigh) You are taking partial differential equations and you are still calling \pi "pie?"

    For the record, it is spelled "pi."

    -Dan
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    Quote Originally Posted by topsquark View Post
    (sigh) You are taking partial differential equations and you are still calling \pi "pie?"
    No, the poster is in Calculus three. All they need to show is that it satisfies the equation. Not to actually solve it.
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