## A short course in 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 | |

90 other sections not shown

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### Common terms and phrases

4-pound weight algebraic arbitrary constants Arctan auxiliary equation Chapter complementary function constant coefficients convolution theorem cos2 defined dependent variable derivatives determine differential operator dy dx E X A M P L E eliminated equation of Ex equation of order equations with constant exact equation EXAMPLE Exercises In Exs existence theorem exp x2 exponential order exponential shift force of magnitude function F(t given graph Hence homogeneous equation inches initial conditions initial value problem integrating factor interval inverse transform Laplace operator Laplace transform linear differential equation linear equation linearly independent obtain orthogonal trajectories parameter parametric equations particular solution result right member satisfy sec2 set of solutions Show sin2 sing singular solution solution of equation Solve the equation spring upward velocity Verify weight stretches write Wronskian yields yn(x zero