Session 10: Steady two dimensional heat equation: Proof, an example and hints for different types

In this video, we will see the proof for the solution to the Steady two-dimensional heat equation. We will also see an example to understand how to find a solution.
Steady-state solution means the temperature function is independent of time.

Half range expansions link:

[aviraj]

sir at 20:06 we should directly put A*n in the equation of u(x, y), don't need to calculate An because we will directly get the value of A* itself

Also at start you wrote d2u/dt2 but I think it should be du/dt though it doesn't affect the derivation

[parthingale]

Thank you Sir for all the top class content which you are providing to us. As a COEP student, I know the value of your lectures. Thanks a lot sir ☺️

[abishekrai]

thank you sir 🙏 now my concept is clear it was the best lecture over all channeles

[RahulSaini-emmg]

Pls elaborate how we will change x & y in this general equation if the boundary conditions is 1 on right, bottom and left wall

[madhurwagle]

Sir, at 18:47, the property is for integration from -a to a but, our integration was from 0 to 2. Then how it is applied to this integration?