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 Sci Advisor HW Helper P: 1,593 We have a LaTex-enabled compiler here. You just write the LaTex commands in the post and the compiler formats it. For example: $$\text{DE:}\quad u_t-u_{xx}=tSin(x) \qquad 0\leq x\leq \pi$$ $$\text{BC:}\quad u(0,t)=0 \qquad u(\pi,t)=0$$ $$\text{IC:}\quad u(x,0)=0$$ See how nice that looks. You can just double-click on any of the equations in here and a window will pop-up 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. Attached Thumbnails