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Solutions to Partial Differential Equations 2e by W. A. Strauss

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Table of Contents


Chapter 1: Where PDEs Come From
Section 1.1 Section 1.2 Section 1.3 Section 1.4 Section 1.5 Section 1.6
Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 12 Exercise 5 Exercise 12 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 13 Exercise 6 Exercise 13 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7

Chapter 2: Waves and Diffusions
Section 2.1 Section 2.2 Section 2.3 Section 2.4 Section 2.5
Exercise 1 Exercise 8 Exercise 1 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 15 Exercise 1
Exercise 2 Exercise 9 Exercise 2 Exercise 2 Exercise 2 Exercise 9 Exercise 16 Exercise 2
Exercise 3 Exercise 10 Exercise 3 Exercise 3 Exercise 3 Exercise 10 Exercise 17 Exercise 3
Exercise 4 Exercise 11 Exercise 4 Exercise 4 Exercise 4 Exercise 11 Exercise 18 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 12 Exercise 19
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 13
Exercise 7 Exercise 7 Exercise 7 Exercise 14

Chapter 3: Reflections and Sources
Section 3.1 Section 3.2 Section 3.3 Section 3.4 Section 3.5
Exercise 1 Exercise 1 Exercise 7 Exercise 1 Exercise 1 Exercise 7 Exercise 13 Exercise 1
Exercise 2 Exercise 2 Exercise 8 Exercise 2 Exercise 2 Exercise 8 Exercise 14 Exercise 2
Exercise 3 Exercise 3 Exercise 9 Exercise 3 Exercise 3 Exercise 9 Exercise 15
Exercise 4 Exercise 4 Exercise 10 Exercise 4 Exercise 10
Exercise 5 Exercise 5 Exercise 11 Exercise 5 Exercise 11
Exercise 6 Exercise 6 Exercise 12

Chapter 4: Boundary Problems
Section 4.1 Section 4.2 Section 4.3
Exercise 1 Exercise 5 Exercise 1 Exercise 1 Exercise 5 Exercise 9 Exercise 13 Exercise 17
Exercise 2 Exercise 6 Exercise 2 Exercise 2 Exercise 6 Exercise 10 Exercise 14 Exercise 18
Exercise 3 Exercise 3 Exercise 3 Exercise 7 Exercise 11 Exercise 15 Exercise 19
Exercise 4 Exercise 4 Exercise 4 Exercise 8 Exercise 12 Exercise 16

Chapter 5: Fourier Series
Section 5.1 Section 5.2 Section 5.3 Section 5.4 Section 5.5 Section 5.6
Exercise 1 Exercise 1 Exercise 16 Exercise 1 Exercise 1 Exercise 16 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 17 Exercise 2 Exercise 2 Exercise 17 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 18 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 19 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 20 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9 Exercise 9
Exercise 10 Exercise 10 Exercise 10 Exercise 10 Exercise 10 Exercise 10
Exercise 11 Exercise 11 Exercise 11 Exercise 11 Exercise 11 Exercise 11
Exercise 12 Exercise 12 Exercise 12 Exercise 12 Exercise 12
Exercise 13 Exercise 13 Exercise 13 Exercise 13 Exercise 13
Exercise 14 Exercise 14 Exercise 14 Exercise 14
Exercise 15 Exercise 15 Exercise 15 Exercise 15

Chapter 6: Harmonic Functions
Section 6.1 Section 6.2 Section 6.3 Section 6.4
Exercise 1 Exercise 6 Exercise 11 Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 6 Exercise 11
Exercise 2 Exercise 7 Exercise 12 Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 7 Exercise 12
Exercise 3 Exercise 8 Exercise 13 Exercise 3 Exercise 3 Exercise 3 Exercise 8 Exercise 13
Exercise 4 Exercise 9 Exercise 4 Exercise 4 Exercise 4 Exercise 9 Exercise 14
Exercise 5 Exercise 10 Exercise 5 Exercise 5 Exercise 10

Chapter 7: Green's Identities and Green's Functions
Section 7.1 Section 7.2 Section 7.3 Section 7.4
Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 1 Exercise 6 Exercise 11 Exercise 16 Exercise 21
Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 2 Exercise 7 Exercise 12 Exercise 17 Exercise 22
Exercise 3 Exercise 8 Exercise 3 Exercise 3 Exercise 3 Exercise 8 Exercise 13 Exercise 18 Exercise 23
Exercise 4 Exercise 9 Exercise 4 Exercise 9 Exercise 14 Exercise 19 Exercise 24
Exercise 5 Exercise 10 Exercise 5 Exercise 10 Exercise 15 Exercise 20 Exercise 25

Chapter 8: Computation of Solutions
Section 8.1 Section 8.2 Section 8.3 Section 8.4 Section 8.5
Exercise 1 Exercise 1 Exercise 7 Exercise 13 Exercise 1 Exercise 7 Exercise 1 Exercise 7 Exercise 1
Exercise 2 Exercise 2 Exercise 8 Exercise 14 Exercise 2 Exercise 8 Exercise 2 Exercise 8 Exercise 2
Exercise 3 Exercise 3 Exercise 9 Exercise 15 Exercise 3 Exercise 9 Exercise 3 Exercise 9 Exercise 3
Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 4 Exercise 10 Exercise 4
Exercise 5 Exercise 11 Exercise 5 Exercise 11 Exercise 5 Exercise 11 Exercise 5
Exercise 6 Exercise 12 Exercise 6 Exercise 6 Exercise 12

Chapter 9: Waves in Space
Section 9.1 Section 9.2 Section 9.3 Section 9.4 Section 9.5
Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 15 Exercise 1 Exercise 8 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 9 Exercise 16 Exercise 2 Exercise 9 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 10 Exercise 17 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 11 Exercise 18 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 12 Exercise 19 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 13 Exercise 20 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 14 Exercise 7 Exercise 7

Chapter 10: Boundaries in the Plane and in Space
Section 10.1 Section 10.2 Section 10.3 Section 10.4 Section 10.5 Section 10.6 Section 10.7
Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 1 Exercise 14 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 15 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 16 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 17 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 18 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6 Exercise 6 Exercise 19 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7 Exercise 7
Exercise 8 Exercise 8 Exercise 8
Exercise 9 Exercise 9
Exercise 10 Exercise 10
Exercise 11 Exercise 11
Exercise 12 Exercise 12
Exercise 13 Exercise 13

Chapter 11: General Eigenvalue Problems
Section 11.1 Section 11.2 Section 11.3 Section 11.4 Section 11.5 Section 11.6
Exercise 1 Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 6 Exercise 1 Exercise 1 Exercise 6
Exercise 2 Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 7 Exercise 2 Exercise 2 Exercise 7
Exercise 3 Exercise 3 Exercise 8 Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 8
Exercise 4 Exercise 4 Exercise 9 Exercise 4 Exercise 4 Exercise 9
Exercise 5 Exercise 5 Exercise 5 Exercise 5

Chapter 12: Distributions and Transforms
Section 12.1 Section 12.2 Section 12.3 Section 12.4 Section 12.5
Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 1
Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 2
Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 3 Exercise 3
Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 4 Exercise 4
Exercise 5 Exercise 12 Exercise 5 Exercise 12 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 13 Exercise 6 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7

Chapter 13: PDE Problems From Physics
Section 13.1 Section 13.2 Section 13.3 Section 13.4 Section 13.5
Exercise 1 Exercise 5 Exercise 1 Exercise 1 Exercise 5 Exercise 1 Exercise 1 Exercise 5 Exercise 9
Exercise 2 Exercise 6 Exercise 2 Exercise 2 Exercise 6 Exercise 2 Exercise 2 Exercise 6 Exercise 10
Exercise 3 Exercise 7 Exercise 3 Exercise 7 Exercise 3 Exercise 7 Exercise 11
Exercise 4 Exercise 8 Exercise 4 Exercise 4 Exercise 8

Chapter 14: Nonlinear PDEs
Section 14.1 Section 14.2 Section 14.3 Section 14.4 Section 14.5
Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 8 Exercise 1 Exercise 1
Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 9 Exercise 2 Exercise 2
Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 10 Exercise 3 Exercise 3
Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 11 Exercise 4 Exercise 4
Exercise 5 Exercise 12 Exercise 5 Exercise 12 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 13 Exercise 6 Exercise 6
Exercise 7 Exercise 7 Exercise 7 Exercise 7

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