## First Course in Ordinary Differential Equations |

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### Contents

Chapter Page | 1 |

SOME TYPES OF SOLVABLE DIFFERENTIAL EQUA | 9 |

APPLICATIONS OF DIFFERENTIAL EQUATIONS | 33 |

Copyright | |

13 other sections not shown

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### Common terms and phrases

air resistance amounts approximations arbitrary constant auxiliary equation change of variable coefficient of friction complementary function converts curve of pursuit derivative determined differential equation 2.1 differential system direction field eliminant ential equation equa Example family of integral find a particular find an integral Find the equation Find the formula find the integral following differential equations force fulfilled function f(x given differential equation given equation gives horizontal hypergeometric instance integral curves integrate the differential integrating factor interval last equation linearly independent locus method normal lines obtain orthogonal trajectories particle particular integral polar coordinates polygonal graph polynomial power series PROBLEMS Find pursuing plane quadratures reduced equation regular singular point relation replaced Riccati equation rope simple harmonic motion sin-i singular point singular solution slope substitution tan-i tank tion velocity yi(x yields zero