PERFORMING THE INVERSE TRANSFORM
FACT: Most of the Laplace transforms
that we encounter are
proper
rational
functions of the form
Zeros = roots of numerator
Poles = roots of denominator
KNOWN: PARTIAL FRACTION EXPANSION
If m<n and the poles are simple
Simple, complex conjugate poles
Pole with multiplicity
r
THE INVERSE TRANSFORM OF EACH
PARTIAL FRACTION IS IMMEDIATE.
WE ONLY NEED TO COMPUTE THE
VARIOUS CONSTANTS
