1. Boundary Value Problem: A boundary value problem is outlined in the diagram below. Y3 Bico B2> B3 B3

1. Boundary Value Problem. A boundary value problem is outlined in the diagram below. 02 > 1 2 -L/2 3 We see that there are 3 regions. You can assume for simplicity thatl = 133. a) b) c) d) e) Determine a Width L and values for that result in a total Of S allowed eignefunctions. Plot the and 2 eigenfunctions. As you decrease the Width Of the guide, shmv (using the transcendental equation) What happens to the number allowed eigenfunctions. Using your values from (a) what percentage of the nFO eigenfunction's "intensity" can be found within the region 2. Using M.tla@show that all 5 eigenfunctions from (a) are orthogonal.