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Chapter 6 / Question while calculating the solution to Laplace using separation of vars
« on: March 19, 2023, 12:46:09 AM »
Hi Prof:
I have a question for solving the Laplacian operation using the separation of variables.
Slide: Week 9 Lecture 1 Page 4.
The queston happens in solving ${\theta}'' + \lambda \theta = 0$.
Q: I do not understand how do you derive the $\lambda_{n} = n^2$.
Also, I do not understand why we can get a expression for $\lambda$ ? To my understading, $\lambda$ is just a constant in the ODE.
Thanks
I have a question for solving the Laplacian operation using the separation of variables.
Slide: Week 9 Lecture 1 Page 4.
The queston happens in solving ${\theta}'' + \lambda \theta = 0$.
Q: I do not understand how do you derive the $\lambda_{n} = n^2$.
Also, I do not understand why we can get a expression for $\lambda$ ? To my understading, $\lambda$ is just a constant in the ODE.
Thanks