Solving heat diffusion equation?

Questions
,
1

My code wont seem to work when I use DSolve to solve the heat diffusion equation. It is a PDE and I can’t find a way to solve it. The equation is as follows:

alpha * Txx = Tt

where Txx is the second derivative of Temperature with respect to x, Tt is the first derivative of Temperature with respect to time, and alpha is a constant.

When I run my code, DSolve just spits out the same thing I entered. Below is my code, let me know how to get it working. Thanks!

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2

In the future I suggest you put copyable code into your posts to make it easier to help you, otherwise I needed to manually type it in.

inf->Infinity is the issue

pde=a D[temp[x,t],{x,2}]-D[temp[x,t],t]==0;
DSolve[{
   pde,
   temp[0,t]==0,
   temp[Infinity,t]==0,
   temp[x,0]==0,
   (D[temp[x,t],t]/.t->0)==0
},temp[x,t],{x,t}]