Chemical Engineering - Process Control and Instrumentation - Discussion

Discussion Forum : Process Control and Instrumentation - Section 1 (Q.No. 44)
44.
For an input forcing function, X(t) = 2t2, the Laplace transform of this function is
2/s2
4/s2
2/s3
4/s3
Answer: Option
Explanation:
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Discussion:
1 comments Page 1 of 1.

Dhaval yadav said:   1 decade ago
L[f(t^n)] = n!/{s^(n+1)}.

Therefore L[f(2t^2)] = 2*[f(t^2)]= 2* 2!/(s^2+1)= 4/s^3.
(1)

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