Resources for Solving Heat Equation

DeeAytch
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Hey guys, I am just looking for some online resources for solving the heat equation. So far I have looked at Paul's Online Math Notes:

http://tutorial.math.lamar.edu/Classes/DE/SolvingHeatEquation.aspx

But I don't feel very confident with the material yet. I would really like some more exposure to these sorts of problems.
 
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Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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