Let D be the semidisk {x2 + y2 < b2, y > 0}. Consider the
Chapter 10, Problem 7(choose chapter or problem)
Let D be the semidisk \(\left\{x^{2}+y^{2}<b^{2}, y>0\right\}\). Consider the diffusion equation in D with the conditions: u = 0 on bdy D and \(u=\phi(r, \theta)\) when t = 0. Write the complete expansion for the solution \(u(r, \theta, t)\), including the formulas for the coefficients.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer