Simplified calculation of transient response

The transient response of a linear lumped-constant time-invariant network, which is excited by a driving force which has the ratio of two polynomials in the complex frequency p for its Laplace transform, can be tabulated easily using a simple linear difference equation. It is not necessary to know the location or multiplicity of the roots of the denominator, to expand in partial fractions, to use complex variables or contour integrals, or even to find the equation for the response. Any desired accuracy can be obtained easily. The new method uses simple algebra and real numbers only. It can be used to generate any mathematical function which has the ratio of two polynomials in p for its Laplace transform.