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c) QUESTION 3 a) Use the method of Laplace transform to solve (2, 0<1/2 where y(0)-3,(0) -1. b) Use convolution theorem to find {2+} Use Laplace transform to solve the following system of differential equations dz -2y= cos 2t, dt dy +2x-sin 2t, dt given that x = 1 and y = 0 when t = 0.

c) QUESTION 3 a) Use the method of Laplace transform to solve (2, 0<1/2 where y(0)-3,(0) -1. b) Use convolution theorem to find {2+} Use Laplace transform to solve the following system of differential equations dz -2y= cos 2t, dt dy +2x-sin 2t, dt given that x = 1 and y = 0 when t = 0.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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c) QUESTION 3 a) Use the method of Laplace transform to solve (2, 0<1</2 +y= 0, t>/2 where y(0)-3,(0) -1. b) Use convolution theorem to find {2+} Use Laplace transform to solve the following system of differential equations dz -2y= cos 2t, dt dy +2x-sin 2t, dt given that x = 1 and y = 0 when t = 0.
Transcribed Image Text:c) QUESTION 3 a) Use the method of Laplace transform to solve (2, 0<1</2 +y= 0, t>/2 where y(0)-3,(0) -1. b) Use convolution theorem to find {2+} Use Laplace transform to solve the following system of differential equations dz -2y= cos 2t, dt dy +2x-sin 2t, dt given that x = 1 and y = 0 when t = 0.
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