The Laplace transform
Answer to Problem 1AP
Solution:
The Laplace transform
Explanation of Solution
Given:
A function
Approach:
The function
It is provided that the improper integral converges as,
If and only if the limit in the above expression exists and is finite, the improper integral converges.
Calculation:
The Laplace transform is written as,
Further simplify the above expression.
Therefore, the Laplace transform
Conclusion:
Hence, the Laplace transform
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Chapter 10 Solutions
Differential Equations And Linear Algebra, Books A La Carte Edition (4th Edition)
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