4. Use Laplace transforms to solve the following initial value problems. (a) y"+2y-3y = 10 sinh 2t, y(0) = 0, y'(0) = 4 (b) y"+ 25y = 10 cos 5t – 2 sin 5t, y(0) = 1, y(0) =2 %3D
4. Use Laplace transforms to solve the following initial value problems. (a) y"+2y-3y = 10 sinh 2t, y(0) = 0, y'(0) = 4 (b) y"+ 25y = 10 cos 5t – 2 sin 5t, y(0) = 1, y(0) =2 %3D
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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![4. Use Laplace transforms to solve the following initial value problems.
(a) y"+2y'- 3y = 10 sinh 2t, y(0) = 0, y'(0) = 4
(b) y" + 25y = 10 cos 5t – 2 sin 5t, y(0) = 1, y(0) = 2
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb296bbad-62ad-463a-b814-69d5735df355%2Fc3b794d9-7f06-431e-b496-6ed1c5b34979%2Ffym22k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Use Laplace transforms to solve the following initial value problems.
(a) y"+2y'- 3y = 10 sinh 2t, y(0) = 0, y'(0) = 4
(b) y" + 25y = 10 cos 5t – 2 sin 5t, y(0) = 1, y(0) = 2
%3D
%3D
![B. Find the following convolutions
1
(a) 1 * cost
(c) sin t * cost
(e) eat * ebt
(b) sin t * sint
d) cost * cost
(f) (e-t-e-2t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb296bbad-62ad-463a-b814-69d5735df355%2Fc3b794d9-7f06-431e-b496-6ed1c5b34979%2F3rr47n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B. Find the following convolutions
1
(a) 1 * cost
(c) sin t * cost
(e) eat * ebt
(b) sin t * sint
d) cost * cost
(f) (e-t-e-2t
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