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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Originally Posted by tbyou87 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.
ok that's what i thought just wanted to make sure i guess
Originally Posted by tbyou87 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 "pie?" For the record, it is spelled "pi." -Dan
Originally Posted by topsquark (sigh) You are taking partial differential equations and you are still calling "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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