a) By using convolution theorem, show that 1 (sin 3t – 3t cos 3t). 54 1 L-1 (s² + 9)2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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QUESTION 4
a) By using convolution theorem, show that
1
1
L-1
(s² + 9)2
(sin 3t – 3t cos 3t).
54
b) Using Laplace transform, solve the system of differential equations
d.x
1,
dt
dy
4x
2H(t – 1),
dt
given that r = 0, y = -1 when t = 0.
%3|
%3D
Transcribed Image Text:QUESTION 4 a) By using convolution theorem, show that 1 1 L-1 (s² + 9)2 (sin 3t – 3t cos 3t). 54 b) Using Laplace transform, solve the system of differential equations d.x 1, dt dy 4x 2H(t – 1), dt given that r = 0, y = -1 when t = 0. %3| %3D
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