## An introduction to applied mathematics |

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### Contents

MATHEMATICAL MODELS AND DIFFERENTIAL AND DIFFERENCE EQUATIONS 1 Introductory | 1 |

Solution and interpretation of results | 3 |

Differential equations and difference equations Definitions | 5 |

Copyright | |

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### Common terms and phrases

amplitude angle angular momentum angular velocity applied arbitrary constants auxiliary equation axes axis beam becomes boundary conditions centre of mass chapter circuit of Fig coefficients complex current complex impedance complex voltage components consider corresponding curve damping deflexion difference equations direction discussed displacement eigenvalues equations of motion example forced oscillation formula Fourier Fourier series freely hinged friction given gives heat horizontal inductance inertia initial conditions Laplace transform Laplace's equation linear differential equations linear equations matrix method natural frequencies non-linear particle of mass particular integral perpendicular plane polynomial problem products of inertia radius region resistance to motion roots rotation satisfies Show shown in Fig solution solved spring of stiffness Substituting Suppose system of Fig temperature theorem tion transfer function values variable vector vertical voltage drop write written zero