## Elementary Differential Equations |

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### Contents

Definitions Elimination of Arbitrary Constants 1 Examples of differential equations | 1 |

Definitions | 3 |

The elimination of arbitrary constants | 5 |

Copyright | |

113 other sections not shown

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### Common terms and phrases

arbitrary constants arctan auxiliary equation boundary conditions boundary value problem Chapter circuit compute constant coefficients convergence coordinates cos2 cosh dependent variable derivatives desired determine electrocardiogram elementary eliminated equa equal roots equation 11 equation 9 equation of Ex Example family of curves finite plane follows formula Fourier series Fourier sine series given Hence homogeneous indicated indicial equation initial integrating factor interval involving l)dx l)dy left member linear equation linearly independent member of equation method motion numerical obtain orthogonal trajectories parameter partial differential equation particular solution polynomial power series recurrence relation regular singular point replaced result right member RLC circuit satisfy sec2 Show singular solution sinh slab solution of equation Solve the equation steady-state temperature theorem tion velocity weight write y)dx y)dy yields zero