Environmental Engineering Reference
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tions. In the second step, the effect of the Dirac impulse vanishes and
only the impulse-free component remains.
Because is continuous and impulse-free, we expand at
in its Taylor series with the time displacement and truncate the series
to the first order
Similarly,
can then be obtained from by solv-
ing (5.43), (5.45), and (5.46) simultaneously. Once they are available,
can be obtained by taking a backward step from
where
Apply this method to the circuit in the preceding section, we have
The solutions of (5.48) are given by
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