## 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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2xy dy angle applied approximate value arbitrary constant auxiliary equation axis coefficients complementary function completely integrable cos2 cosh defined determined electromotive force Example Exercise exponential order expression family of parabolas find the particular Fourier series function f(x gallons given Hence identically independent variable indicial equation indicial exponent initial conditions integral curve integrating factor interval isogonal trajectories Laplace transformation left member linear differential equation linearly independent method motion nx dx obtained orthogonal trajectories parabolas parameter partial differential equations particular integral particular solution point of contact polynomial pounds of salt power series radius vector regular singular point result right member roots satisfy sin2 singular solution slope solution y(x Solve the equation substance substitution tangent tank temperature Theorem tion written Wronskian x-axis y2 dx zero