## Student Solutions Manual, Partial Differential Equations & Boundary Value Problems with MapleStudent Solutions Manual, Partial Differential Equations & Boundary Value Problems with Maple |

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### Contents

1 | |

13 | |

Chapter 2 SturmLiouville Eigenvalue Problems and Generalized Fourier Series | 73 |

Chapter 3 The Diffusion or Heat Partial Differential Equation | 161 |

Chapter 4 The Wave Partial Differential Equation | 217 |

Chapter 5 The Laplace Partial Differential Equation | 275 |

Chapter 6 The Diffusion Equation in Two Spatial Dimensions | 339 |

Chapter 7 The Wave Equation in Two Spatial Dimensions | 409 |

Chapter 8 Nonhomogeneous Partial Differential Equations | 477 |

Chapter 9 Infinite and Semiinfinite Spatial Domains | 557 |

Chapter 10 Laplace Transform Methods for Partial Differential Equations | 639 |

709 | |

711 | |

### Other editions - View all

Partial Differential Equations and Boundary Value Problems with Maple George A. Articolo Limited preview - 2009 |

### Common terms and phrases

Allowed eigenvalues animated sequence Assignment of system basis vectors Bessel BesselJ(0 corresponding orthonormal eigenfunctions cylindrical coordinate system cylindrical coordinates diffusion equation dimension displacement distribution f(x Eigenfunction expansion eigenvalue equation eigenvalues and corresponding Euler ﬁnite interval ﬁrst ﬁxed temperature Fourier coefficients Fourier integral Fourier series expansion given following Green’s function heat source homogeneous boundary conditions homogeneous partial differential initial condition function initial displacement distribution initial speed distribution initial temperature distribution inner product interval I x|0 Laplace transform lateral surface left end linear Maple method of separation ordinary differential equations partial differential equation preceding animation command rectangular coordinates respect right end second-order semi-inﬁnite interval separation of variables Series solution series terms shows snapshots speed distribution g(x statement of orthonormality Sturm-Liouville problem Substituting surface is insulated system basis vectors system parameters taut string thin rod transformed boundary transverse wave wave equation weight function weight function w(x yields