Applying Kirchhoff's laws to circuits containing energy storage elements results in simultaneous differential equations in the time domain that must be solved to analyze the circuit's behavior. The solution of any equation of higher than first order can be difficult, and some driving functions cannot be solved easily by classical methods.
In both cases, the solution might be simplified using Laplace transforms to convert time domain equations containing integral and differential terms to algebraic equations in the frequency domain.
This chapter covers the following topics: