OFFS and ODWE Quiz Spring 2026 Version 01   A note before yo…

OFFS аnd ODWE Quiz Spring 2026 Versiоn 01   A nоte befоre you begin: In а lecture video on the ODWE mаterial I had to choose a linking constant to separate the variables. This constant can be positive, negative, or zero. I rejected the positive and zero cases in the video, and proceeded to choose a negative linking constant to solve the problem. The first two quiz questions below ask you to apply the same boundary conditions as in the video, but to the solutions derived from assuming the linking constant is either zero or positive. The results of these two problems demonstrate why these two linking constant cases could be ignored in solving the original problem.   Question 1 (15 points) In a homework question you solved Trigg's equation for . In this zero linking constant case, the solution for the spatial part of the wave equation would be . If the conditions for the spatial part of the ODWE are and , determine and .   Question 2 (15 points) In a homework question you solved Trigg's equation for  . In this positive linking constant case, the solution for the spatial part of the wave equation would be