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Math 344 Homework
from Series Solutions of Linear Differential Equations and Laplace Transforms, or Partial Differential Equations and Fourier Series (Custom Editions)
by Boyce & DiPrima
Chapter 6 (The Laplace Transform)
6.1:
1-6,14,15,21-24,30-31(interesting, but optional)
6.2: 1-16,19,21,23,28ab (optional)
6.3: 1-4,13-19,21,23
6.4: 1-11
6.5: 1-11 (odd),17
6.6:
4,5,8-10,13-19,22 (optional)
Chapter 5 (Series Solutions of Linear Differential Equations)
5.1: 21-27
5.2:
1-13 (odd),15a,17a
5.3:
10,22,23
5.4:
1-4,11,12
5.5: 1-4,11,12
5.6: Read, especially Theorem 5.6.1 which gives the general form for solutions about regular singular points, depending on the roots of the indicial equation.
5.7: Read, to get an idea of the power series techniques needed to understand an important linear ODE that come up in applications.
Inner Product Spaces and Orthogonality (Goode & Annin excerpt)
4.11:Problems 1,2,9,11,20
4.12: Problems 1,3,9,10,14,16,17,18,23 & Project 2 (parts 1 & 2ac) on page 340-341
Chapter 10 (Partial Differential Equations and Fourier Series)
10.1: 1,3,5,9,11,13,15
10.2: 1,4,11,13,15,16,19-22ab
10.3: 1,3,7,8
10.4: 1,3,6,7-12,15,17,19-22
10.5: 1,2,7-10
10.6: 1,2,7,9,10,13
Chapter 11 (Boundary Value Problems and Sturm-Liouville Theory)
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