# Math Help - Heat equation solution

1. ## 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.

2. 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.

3. ok that's what i thought just wanted to make sure i guess

4. 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 $\pi$ "pie?"

For the record, it is spelled "pi."

-Dan

5. Originally Posted by topsquark
(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.