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15-4 Laplace transform of some simple time function 1. The unit step function

15-6 The partial-fraction-expansion method

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We define transfer function H(s) as a ratio of the Laplace transform of system output (or response)(s) to the Laplace transform of the input(or forcing function)v(s) when all initial conditions are zero, then

1. Augmented( incidence matrix of a directed graph nodes(N+1), branches(B)

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Relationship between branch and loop currents

Let the initial voltages on the capacitors be represented as voltage sources in series with the capacitors and the initial currents through the inductors be represented as current sources in parallel with the inductors