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{\Large\bf Introduction the Laplace Transform Method}

\vspace{.3in}

The Laplace Transform method is a technique for solving
linear differential equations with initial conditions.
It is commonly used to solve problems in electrical
circuit and systems problems.

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{\bf What is a Transform Method?}

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The simplest way to describe a transform method is to
consider an example. Suppose we wish to compute the
product of VI and XIV, both Roman numerals, and express
the answer as a Roman numeral. Unless you are a Roman(!),
the first thing to do is convert the Roman numerals to Arabic
numerals. VI is 6 and XIV is 14. The new problem is:
compute the product
of 6 and 14. We can all do this! The solution to the new
problem is 84. We then convert the solution to the new problem
to the solution to old problem. 84 in Roman numerals is 
LXXXIV. The following diagram summarizes what we have done.

