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 $\displaystyle \pi$ "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 $\displaystyle \pi$ "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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