## Differential equations |

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### Contents

CHAPTER ONE PRELIMINARY CONCEPTS 1 Introduction | 1 |

Ordinary differential equations | 2 |

Solution of a differential equation | 3 |

Copyright | |

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angle applied approximate value arbitrary constant auxiliary equation axis coefficients complementary function completely integrable cosh determined electromotive force equa Example Exercise expression family of curves find the particular gallons given Hence identically independent variable indicial equation indicial exponent initial conditions integral curve integrating factor isogonal trajectories Laplace transformation left member linear differential equation linearly independent method motion obtained original orthogonal trajectories parabolas parameter partial differential equations particular integral particular solution point of contact polynomial pounds of salt power series pursuit curve radius vector regular singular point right member roots satisfy sin2 singular solution slope solu solution y(x Solve the equation substance substitution tangent tank temperature Theorem tion written Wronskian x-axis x-intercept xy dy y2 dx yi(x zero