We have a LaTexenabled compiler here. You just write the LaTex commands in the post and the compiler formats it. For example:
[tex]\text{DE:}\quad u_tu_{xx}=tSin(x) \qquad 0\leq x\leq \pi[/tex]
[tex]\text{BC:}\quad u(0,t)=0 \qquad u(\pi,t)=0[/tex]
[tex]\text{IC:}\quad u(x,0)=0[/tex]
See how nice that looks. You can just doubleclick on any of the equations in here and a window will popup with the latex commands or just go to the Physics forum and see the "introducing LaTex" thread. Now, the equation above is just a rod with an internal heat source that eventually develops into a sine wave. This one is easily solved using Duhamel's principle. It looks like:
Edit: Suppose the heat source is a sine wave. It just gets bigger (hotter) and bigger with time.
