Section 3.7 List of tricks to find the inverse Laplace transform
These algebraic tricks can be used to manipulate an expression for finding inverse Laplace transforms.
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Multiply top and bottom by the same quantity. Doing this amounts to "multiplying by a convenient form of one".
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Use the linearity properties of the inverse Laplace transform
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Use partial fractions to break an expression into smaller pieces.
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Use the inverse form of Theorem 3.3.1.
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Add and subtract a constant in the numerator.
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Complete the square in the denominator.
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Use the inverse form of Theorem 3.3.7.
