## An introduction to the Laplace transformation with engineering applications |

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### Contents

Bontcnts | 1 |

Electric Circuit Theory | 26 |

Further Theorems and Their Applications | 79 |

Copyright | |

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### Common terms and phrases

alternating current ampliﬁer analytic applied voltage Argand diagram boundary conditions calculation Chapter circuit elements circuit of Fig circuit theory complex number complex roots complex variable complicated condenser consider constant voltage contour corresponding cosh current and charge deﬁned deﬁnition delta function denominator electrical network evaluate example expansion formula factor ﬁlter ﬁnally ﬁnd ﬁnding ﬁnite lines ﬁrst ﬂowing follows Fourier transform function y(t given initial gives Heaviside’s hyperbolic functions impulsive inﬁnite initial values integral transforms Laplace transform Laplace transformation method large circle line integral lossless line mathematics motion notation ordinary differential equations partial differential equations partial fractions pl/c positive real root result satisﬁes semi-inﬁnite line shown in Fig sinh solved speciﬁed submarine cable subsidiary equation suppose table of transforms terminals tion torque usually velocity voltage drop writing zero initial conditions zero initial current