Laplace transform method is studied in this chapter. It is an operation calculus
method for finding solutions to differential equations, especially solutions to models in
engineering. Problems solved using the Laplace transform are: LRC electrical problems with
constant voltages and n-th order linear differential equations. In real life, systems may be
governed by combinations of continuous and discrete characteristics, referred to as hybrid
systems. In order to handle such systems effectively, the Laplace transform of discrete systems
is also studied to complement the continuous systems.
Keywords: Hybrid systems, Laplace transform, LRC electrical problems, Maple examples, Milne transform, Operation calculus.
