## Advanced mathematics for engineers |

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### Contents

Chapter I ORDINARY DIFFERENTIAL EQUATIONS ABT PAGE 1 Introduction | 1 |

Equations of the First Order and Miscellaneous Equations of Higher Order 2 Variables Separable | 3 |

Integrable Combinations | 4 |

Copyright | |

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algebraic analytic angle applied approach zero arbitrary constants beam Bessel Bessel function Cauchy's integral theorem Chapter circle circuit coefficients Consequently consider const convergent corresponding cosh cosine cosine series curve denote derivatives displacement distance divergence theorem dy/dx elliptic integral equal equipotentials example expression force formula Fourier series ft./sec given Hence horizontal infinite series initial conditions interval Laplace Laplace transform Laplace's equation length line integral maps maximum method motion negative nx dx obtained odd function operator partial differential equations particle positive integer potential power series problem quantity radius relation resistance respectively result roots satisfies scalar sin2 sinh solve streamlines Substituting suppose surface temperature theorem tion transformation uniformly convergent variable vector velocity vibrating volts weight whence x-axis z-plane