INCONSISTENT INITIAL CONDITIONS - Computer Methods for Analysis of Mixed-Mode Switching Circuits - page 86

and the response at the end of the backward step is obtained from

The normalized error between the analytical result and that
computed from numerical Laplace inversion using the two-step method is
plotted in Fig. 5.3. It is seen that a minimum error exists. For example,
when the normalized error is in the range of This result

demonstrates that for this particular circuit, if is used, the

relative error between and is in the range of

To demonstrate the effectiveness of the preceding two-step algorithm,
consider the circuit shown in Fig.5.4. Let the input be

It can be shown that the output voltage is given by