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# Solutions to Applied Partial Differential Equations 5e by Haberman

Visit the Textbook's Page on Amazon.comChapter 1: Heat Equation | ||||||||
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1.2 | 1.3 | 1.4 | 1.5 | |||||

Exercise 1 | Exercise 8 | Exercise 1 | Exercise 1 | Exercise 8 | Exercise 1 | Exercise 8 | Exercise 15 | Exercise 23 |

Exercise 2 | Exercise 9 | Exercise 2 | Exercise 2 | Exercise 9 | Exercise 2 | Exercise 9 | Exercise 16 | Exercise 24 |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 10 | Exercise 3 | Exercise 10 | Exercise 17 | Exercise 25 | |

Exercise 4 | Exercise 4 | Exercise 11 | Exercise 4 | Exercise 11 | Exercise 18 | |||

Exercise 5 | Exercise 5 | Exercise 12 | Exercise 5 | Exercise 12 | Exercise 19 | |||

Exercise 6 | Exercise 6 | Exercise 13 | Exercise 6 | Exercise 13 | Exercise 20 | |||

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 14 | Exercise 21 |

Chapter 2: Method of Separation of Variables | |||||||||
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2.2 | 2.3 | 2.4 | 2.5 | ||||||

Exercise 1 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 19 | Exercise 25 |

Exercise 2 | Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | Exercise 8 | Exercise 14 | Exercise 20 | Exercise 26 | |

Exercise 3 | Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 9 | Exercise 15 | Exercise 21 | Exercise 27 | |

Exercise 4 | Exercise 4 | Exercise 10 | Exercise 4 | Exercise 4 | Exercise 10 | Exercise 16 | Exercise 22 | Exercise 28 | |

Exercise 5 | Exercise 5 | Exercise 11 | Exercise 5 | Exercise 5 | Exercise 11 | Exercise 17 | Exercise 23 | Exercise 29 | |

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 12 | Exercise 18 | Exercise 24 |

Chapter 3: Fourier Series | |||||||||
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3.2 | 3.3 | 3.4 | 3.5 | 3.6 | |||||

Exercise 1 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 | Exercise 7 | Exercise 13 | Exercise 1 | Exercise 7 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 8 | Exercise 14 | Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | ||

Exercise 3 | Exercise 3 | Exercise 9 | Exercise 15 | Exercise 3 | Exercise 9 | Exercise 3 | |||

Exercise 4 | Exercise 4 | Exercise 10 | Exercise 16 | Exercise 4 | Exercise 10 | Exercise 4 | |||

Exercise 5 | Exercise 11 | Exercise 17 | Exercise 5 | Exercise 11 | Exercise 5 | ||||

Exercise 6 | Exercise 12 | Exercise 18 | Exercise 6 | Exercise 12 | Exercise 6 |

Chapter 4: Wave Equation: Vibrating Strings and Membranes | |||||||
---|---|---|---|---|---|---|---|

4.2 | 4.3 | 4.4 | 4.5 | 4.6 | |||

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 6 | Exercise 11 | Exercise 1 | Exercise 1 | |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 7 | Exercise 12 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 8 | Exercise 13 | Exercise 3 | |||

Exercise 4 | Exercise 4 | Exercise 9 | Exercise 4 | ||||

Exercise 5 | Exercise 5 | Exercise 10 | Exercise 5 |

Chapter 5: Sturm--Liouville Eigenvalue Problems | |||||||||
---|---|---|---|---|---|---|---|---|---|

5.3 | 5.4 | 5.5 | 5.5A | 5.6 | 5.7 | 5.8 | 5.9 | 5.10 | |

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 14 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 15 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 16 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 17 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 18 | Exercise 5 | 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 8 | Exercise 8 | Exercise 8 | Exercise 8 | ||||||

Exercise 9 | Exercise 9 | Exercise 9 | |||||||

Exercise 10 | Exercise 10 | Exercise 10 | |||||||

Exercise 11 | Exercise 11 | ||||||||

Exercise 12 | Exercise 12 | ||||||||

Exercise 13 | Exercise 13 |

Chapter 6: Finite Difference Numerical Methods for Partial Differential Equations | ||||||||
---|---|---|---|---|---|---|---|---|

6.2 | 6.3 | 6.4 | 6.5 | 6.6 | 6.7 | |||

Exercise 1 | Exercise 1 | Exercise 8 | Exercise 15 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 8 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 9 | Exercise 16 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 10 | Exercise 17 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | |

Exercise 4 | Exercise 4 | Exercise 11 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||

Exercise 5 | 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 14 | Exercise 7 | Exercise 7 | Exercise 7 |

Chapter 7: Higher-Dimensional Partial Differential Equations | |||||||||
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7.2 | 7.3 | 7.4 | 7.5 | 7.6 | 7.7 | 7.8 | 7.9 | 7.10 | |

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 16 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | ||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | 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 8 | Exercise 8 | Exercise 8 | Exercise 8 | ||||||

Exercise 9 | Exercise 9 | Exercise 9 | Exercise 9 | ||||||

Exercise 10 | Exercise 10 | Exercise 10 | Exercise 10 | ||||||

Exercise 11 | Exercise 11 | Exercise 11 | Exercise 11 | ||||||

Exercise 12 | Exercise 12 | Exercise 12 | Exercise 12 | ||||||

Exercise 13 | Exercise 13 | Exercise 13 | |||||||

Exercise 14 | Exercise 14 | ||||||||

Exercise 15 | Exercise 15 |

Chapter 8: Nonhomogeneous Problems | ||||||||
---|---|---|---|---|---|---|---|---|

8.2 | 8.3 | 8.4 | 8.5 | 8.6 | ||||

Exercise 1 | Exercise 6 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 1 | Exercise 6 | Exercise 1 | Exercise 6 |

Exercise 2 | Exercise 2 | Exercise 7 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 7 | ||

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 8 | |||

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 9 | |||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 10 |

Chapter 9: Green's Functions for Time-Independent Problems | |||||||||
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9.2 | 9.3 | 9.4 | 9.5 | 9.6 | |||||

Exercise 1 | Exercise 1 | Exercise 10 | Exercise 19 | Exercise 1 | Exercise 10 | Exercise 1 | Exercise 10 | Exercise 19 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 11 | Exercise 20 | Exercise 2 | Exercise 11 | Exercise 2 | Exercise 11 | Exercise 20 | Exercise 2 |

Exercise 3 | Exercise 3 | Exercise 12 | Exercise 21 | Exercise 3 | Exercise 12 | Exercise 3 | Exercise 12 | Exercise 21 | Exercise 3 |

Exercise 4 | Exercise 4 | Exercise 13 | Exercise 22 | Exercise 4 | Exercise 13 | Exercise 4 | Exercise 13 | Exercise 22 | Exercise 4 |

Exercise 5 | Exercise 14 | Exercise 23 | Exercise 5 | Exercise 14 | Exercise 5 | Exercise 14 | Exercise 23 | Exercise 5 | |

Exercise 6 | Exercise 15 | Exercise 24 | Exercise 6 | Exercise 6 | Exercise 15 | Exercise 24 | Exercise 6 | ||

Exercise 7 | Exercise 16 | Exercise 25 | Exercise 7 | Exercise 7 | Exercise 16 | Exercise 7 | |||

Exercise 8 | Exercise 17 | Exercise 26 | Exercise 8 | Exercise 8 | Exercise 17 | Exercise 8 | |||

Exercise 9 | Exercise 18 | Exercise 9 | Exercise 9 | Exercise 18 | Exercise 9 |

Chapter 10: Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations | ||||||||
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10.2 | 10.3 | 10.4 | 10.5 | 10.6 | 10.7 | |||

Exercise 1 | Exercise 1 | Exercise 13 | Exercise 1 | Exercise 1 | Exercise 13 | Exercise 1 | Exercise 13 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 14 | Exercise 2 | Exercise 2 | Exercise 14 | Exercise 2 | Exercise 14 | Exercise 2 |

Exercise 3 | Exercise 15 | Exercise 3 | Exercise 3 | Exercise 15 | Exercise 3 | Exercise 15 | Exercise 3 | |

Exercise 4 | Exercise 16 | Exercise 4 | Exercise 4 | Exercise 16 | Exercise 4 | Exercise 16 | Exercise 4 | |

Exercise 5 | Exercise 17 | Exercise 5 | Exercise 5 | Exercise 17 | Exercise 5 | Exercise 17 | Exercise 5 | |

Exercise 6 | Exercise 18 | Exercise 6 | Exercise 6 | Exercise 18 | Exercise 6 | Exercise 18 | Exercise 6 | |

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 19 | Exercise 7 | Exercise 19 | |||

Exercise 8 | Exercise 8 | Exercise 8 | Exercise 20 | Exercise 8 | Exercise 20 | |||

Exercise 9 | Exercise 9 | Exercise 9 | Exercise 9 | Exercise 21 | ||||

Exercise 10 | Exercise 10 | Exercise 10 | Exercise 10 | Exercise 22 | ||||

Exercise 11 | Exercise 11 | Exercise 11 | Exercise 11 | |||||

Exercise 12 | Exercise 12 | Exercise 12 | Exercise 12 |

Chapter 11: Green's Functions for Wave and Heat Equations | |||||||
---|---|---|---|---|---|---|---|

11.2 | 11.3 | ||||||

Exercise 1 | Exercise 4 | Exercise 7 | Exercise 10 | Exercise 13 | Exercise 1 | Exercise 4 | Exercise 7 |

Exercise 2 | Exercise 5 | Exercise 8 | Exercise 11 | Exercise 14 | Exercise 2 | Exercise 5 | Exercise 8 |

Exercise 3 | Exercise 6 | Exercise 9 | Exercise 12 | Exercise 15 | Exercise 3 | Exercise 6 |

Chapter 12: Green's Functions for Wave and Heat Equations | ||||||||
---|---|---|---|---|---|---|---|---|

12.2 | 12.3 | 12.4 | 12.5 | 12.6 | 12.7 | |||

Exercise 1 | Exercise 9 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 9 | Exercise 17 | Exercise 1 |

Exercise 2 | Exercise 10 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 10 | Exercise 18 | Exercise 2 |

Exercise 3 | Exercise 11 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 11 | Exercise 19 | |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 12 | Exercise 20 | ||

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 13 | Exercise 21 | |||

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 | Exercise 14 | Exercise 22 | |||

Exercise 7 | Exercise 7 | Exercise 7 | Exercise 15 | Exercise 23 | ||||

Exercise 8 | Exercise 8 | Exercise 8 | Exercise 16 |

Chapter 13: Laplace Transform Solution of Partial Differential Equations | |||||||
---|---|---|---|---|---|---|---|

13.2 | 13.3 | 13.4 | 13.5 | 13.6 | 13.7 | 13.8 | |

Exercise 1 | Exercise 7 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 8 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 9 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | |

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | |||

Exercise 6 | Exercise 6 | Exercise 6 | Exercise 6 |

Chapter 14: Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods | ||||||||
---|---|---|---|---|---|---|---|---|

14.2 | 14.3 | 14.4 | 14.5 | 14.6 | 14.7 | 14.8 | 14.9 | 14.10 |

Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 | Exercise 1 |

Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 | Exercise 2 |

Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 | Exercise 3 |

Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 | Exercise 4 |

Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | Exercise 5 | |

Exercise 6 | Exercise 6 | 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 7 | ||

Exercise 8 | 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 11 | Exercise 11 | Exercise 11 | Exercise 11 | Exercise 11 | ||||

Exercise 12 | Exercise 12 |

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