Eigenvalues and Eigenfunctions
Study Section 9.4 carefully. Find the eigenvalues and eigenfunctions of the problems stated in Problem 6, page 137. Assign values to "a" and "b" and plot graphs of contours of "u" in each problem. Assuming that "u" is the stream function of a flow, plot the particle paths of typical particles in this flow. Create all of the graphs in a Mathematica notebook. Use the functions within Mathematica (such as Text, etc.) and write a paper about your findings.