NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS - Computer Methods for Analysis of Mixed-Mode Switching Circuits - page 65

The response is computed using Matlab with the maximum accuracy
(15 digits) [71]. Fig.4.4 plots the relative error. It is seen that numer-
ical Laplace inversion yields very accurate results of when
the step is small. The error increases drastically when the step size is
large. This agrees with our early statements that the error of numerical
Laplace inversion grows when the displacement from the time origin is
large.
D. RC Network
Consider the RC network shown in Fig.4.5. Let C = 1F, and
the input is a unit step function applied at Assuming zero initial
voltage of the capacitor. The exact output voltage is given by