## Differential Equations, Volume 1 |

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### Contents

CHAPTER | 1 |

Applications of differential equations | 2 |

Definitions | 3 |

Copyright | |

102 other sections not shown

### Common terms and phrases

_ dy _ algebraic approximation arbitrary function auxiliary equation CHAPTER complete solution computation coordinates of points determined direction numbers discussion dx _ dy dx dy dy/dx elimination envelope equation f(x equation of order exact differential Example family of curves family of surfaces Find the equation find the particular Find the value first-order equation formula given equation Hence the solution homogeneous equation independent variables integral curves Integrand integrating factor intermediate integral Jacobian latter equation linear equation nodal locus obtain the relation Ordinary Differential Equations orthogonal trajectories partial differential equation particular integral Piaggio Polynomial primitive result root Runge's method satisfies the differential satisfy the equation second member SECTION seen Simpson's rule simultaneous equations singular solution solve the equation subtangent tangent theorem total differential equation written y)dx