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3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³- 3 e* y(0) = 1 Y(0) = - 1 b. y" +0.04 y = 0.02t² y(0) = -25 y(0) = 0 c. y" +2y' + 5y = 50t - 100 y (2) = -4 y (2) = 14 d. 2y" - 4y' - 6 y= 3 e y (0) = 3 y (0) = 3.5

3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³- 3 e* y(0) = 1 Y(0) = - 1 b. y" +0.04 y = 0.02t² y(0) = -25 y(0) = 0 c. y" +2y' + 5y = 50t - 100 y (2) = -4 y (2) = 14 d. 2y" - 4y' - 6 y= 3 e y (0) = 3 y (0) = 3.5

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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answer b, c and d skip a 

3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³t – 3 e* y(0) = 1 y'(0) = - 1 b. y" + 0.04 y = 0.02t² y(0) = -25 y'(0) = 0 C. y" + 2y + 5y = 50t - 100 y (2) = -4 y' (2) = 14 d. 2 y" – 4 y' - 6 y = 3 e²x y (0) = 3 y' (0) = 3.5
Transcribed Image Text:3. Solve each of the following IVP by the Laplace transform method: a. y" - 4 y' = 6 e³t – 3 e* y(0) = 1 y'(0) = - 1 b. y" + 0.04 y = 0.02t² y(0) = -25 y'(0) = 0 C. y" + 2y + 5y = 50t - 100 y (2) = -4 y' (2) = 14 d. 2 y" – 4 y' - 6 y = 3 e²x y (0) = 3 y' (0) = 3.5
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