La Place Transform. Determine the LAPLACE TRANSFORM (LT) of the following: a. f(t) = 2 e³t (4 cosh 2t - 5 sin 2t)
La Place Transform. Determine the LAPLACE TRANSFORM (LT) of the following: a. f(t) = 2 e³t (4 cosh 2t - 5 sin 2t)
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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Please show the solution of the following with the answer key provided:

Transcribed Image Text:1. La Place Transform. Determine the LAPLACE TRANSFORM (LT) of the
following:
a. f(t) = 2 e³t (4 cosh 2t - 5 sin 2t)
b. f(t)= t²cos 5t
c. f(t)=e-²t (2t³ + 3t - 2)}

Transcribed Image Text:1. La Place Transform.
a.
F(s) =
b. F(s) = =
c. F(s) =
8(s-3)
(s-3)²-4
85³
(s²+25)³
12
(s+2)4
+
20
(S-3)²+4
6
(s²+25)²
3
(s+2)²
2
s+2
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