4.2 Inverse Transforms and Transforms of Derivatives
INTRODUCTION
In this section we take a few small steps into an investigation of how the Laplace transform can be used to solve certain types of equations. After we discuss the concept of the inverse Laplace transform and examine the transforms of derivatives we then use the Laplace transform to solve some simple ordinary differential equations.
4.2.1 Inverse Transforms
The Inverse Problem
If F(s) represents the Laplace transform of a function f(t), that is, 
{f(t)} = F(s), we then say f
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