I wish to solve a 2D steady state heat equation analytically. The boundary is a square. The top side is maintained at 100 C, while the other sides are maintained at 0 C.(adsbygoogle = window.adsbygoogle || []).push({});

The differential equation governing the temperature distribution will be the laplacian equation. To solve the equation analytically, I suppose we can guess that the solution is the product of the two independent variable. But how can I proceed from there?

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# Homework Help: Solving Laplacian Equation Analytically

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