Solve the wave equation inside a 30( 6 ) sector of a circle. [Hint: See hints for
Chapter 7, Problem 7.8.1(choose chapter or problem)
Solve the wave equation inside a 30( 6 ) sector of a circle. [Hint: See hints for Exercise 7.7.14.] 2u t2 = c 22u = c 2 1 r r r u r + 1 r2 2u 2 , subject to the conditions u(a, , t)=0, u(r, 0, t)=0 u r, 6 , t = 0, u(r, , 0) = 0 u t (r, , 0) = (r, ). *(d) Obtain an upper and lower bound for the smallest eigenvalue. (e) Using a trial function, obtain an upper bound for the smallest eigenvalue. (f) Compute approximately the smallest eigenvalue from part (b) using tables of Bessel functions. Compare with parts (d) and (e).
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