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Solutions to Partial Differential Equations 2e by W. A. Strauss
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Chapter 1: Where PDEs Come From | ||||||||
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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 | ||||||||
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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 | |||||||
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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 | |||||||
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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 6: Harmonic Functions | ||||||||
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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 | ||||||||
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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 | ||||||||
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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 | ||||||||
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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 | |||||||
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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 | ||||||||
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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 | |||||||
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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 | ||||||||
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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 | |||||||
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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 |