Laplace Transform
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Example 1: Solve using Laplace Transform
Answer: First, apply the Laplace Transform
Knowing that
,
and
we get
After easy algebraic manipulations we get
,
which implies
Next, we need to use the inverse Laplace.
We have (see the table)
For the second term we need to perform the partial decomposition technique first.
.
We get
Hence, we have
Since (see the table)
and (see the table)
Finally, we have
http://webpages.dcu.ie/~applebyj/ms224/BT2_LAP.pdf
http://www.sosmath.com/diffeq/laplace/basic/basic.html
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Solution Summary
Laplace Transform is utilized to calculate functions.
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