Advanced Engineering Mathematics, 7th Edition

13 Chapter in Review Answers to selected odd-numbered problems begin on page ANS-36.

In Problems 1 and 2, use separation of variables to find product solutions u = X(x)Y(y) of the given partial differential equation.

1. 
2. 
3. Find a steady-state solution ψ(x) of the boundary-value problem

   

4. Give a physical interpretation for the boundary conditions in Problem 3.
5. At t = 0 a string of unit length is stretched on the positive x-axis. The ends of the string ...