Math 425 - Notes and Homework Tuesday February 26, 2008

Topics for this week -

1. Duhamel's principle and other techniques for inhomogeneous problems
2. Solutions on finite domains - separated solutions
3. Boundary conditions -- eigenvalue (Sturm-Liouville) problems for ODEs

Fifth Homework Assignment - due Thursday, March 6

1. Reading: Read sections 3.3, 3.4, 4.1 and 4.2 of the text
2. Be prepared to discuss the following problems in class:
   • Page 66 (page 64 in the first ed), problems 1, 3, 9
   • Page 70 (page 68 in the first ed), problem 1
   • Page 79 (page 76 in the first ed), problems 1, 4, 10
   • Page 89 (page 87 in the first ed), problems 2, 3
   • Page 92 (page 90 in the first ed), problem 1
3. Write up solutions of the following to hand in:
   • Page 66 (page 64 in the first ed), problems 4, 10
   • Page 70 (page 68 in the first ed), problem 2
   • Page 79 (page 76 in the first ed), problems 2, 5, 13
   • Page 89 (page 87 in the first ed), problems 4, 6
   • Page 92 (page 90 in the first ed), problem 2