Please I need materials for application of laplace
Transform to civil engineering.
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There are two (related) approaches:
Derive the circuit (differential) equations in the time domain, then transform these ODEs to the s-domain;
Transform the circuit to the s-domain, then derive the circuit equations in the s-domain (using the concept of "impedance").
We will use the first approach. We will derive the system equations(s) in the t-plane, then transform the equations to the s-plane. We will usually then transform back to the t-plane.