Homework 7

Due: 24 November 2016


The problems are relevant to Test 2; they are further examples of problems solved by Separation of Variables and Fourier series, and considerations of the d'Alembert formulation. The due date is meant to emphasize that these types of questions may appear on Test 2 (the problem set may be turned in in class on Tuesday following Thanksgiving break.


42. page 626, 13.2.10
43. page 626, 13.2.14
44. page 632, 13.3.7
45. page 637, 13.4.2
46. (a) Discuss the possibility of extending the d'Alembert solution to the two-dimensional equation wave equation. (b) Discuss the possibility of solutions of the form u(x,t) = eλx+μy for the equation,

where a, b, c, d, e, f, and h are constants.


Sketchy solutions