The Laplace transform of F(t) = /integral exp(2t) dt from 0 to t. Select one: a. s(s-2) O b. 1/(s(s -2)) O c. 1/(s(s+2)) O d. 1/s^2 (1/(s-2))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Laplace transform of F(t) = /integral exp(2t) dt from 0 to t.
Select one:
O a. s(s-2)
O b. 1/(s(s -2))
O c. 1/(s(s+2))
O d. 1/s^2 (1/(s-2))
Transcribed Image Text:The Laplace transform of F(t) = /integral exp(2t) dt from 0 to t. Select one: O a. s(s-2) O b. 1/(s(s -2)) O c. 1/(s(s+2)) O d. 1/s^2 (1/(s-2))
Determine the Laplace transform of the function F(t) = t^1.5 exp{-2t}.
Select one:
O a. 3/4 (\sqrt{pi}/s^{2.5})^{1/2}
O b. None of these
O c. 3/4 (\sqrt{pi}/s^{2.5})
O d. 3/2 (\sqrt{pi}/(s-2)^{2.5})
Transcribed Image Text:Determine the Laplace transform of the function F(t) = t^1.5 exp{-2t}. Select one: O a. 3/4 (\sqrt{pi}/s^{2.5})^{1/2} O b. None of these O c. 3/4 (\sqrt{pi}/s^{2.5}) O d. 3/2 (\sqrt{pi}/(s-2)^{2.5})
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