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32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0. y'(0) = 0

32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0. y'(0) = 0

Advanced Engineering Mathematics
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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ODEs and Systems Solve by Laplace Transform and graph the solution. (Please answer only 32-34)
32. y" + 4y = 8(1 - T) - 8(1 - 27). (0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(t - 2). y(0) = 0. y'(0) = 0 34. yi = y2. v2 = -4yı + 81 - 7). 1(0) = 0. V2(0) = 0 %3D %3D 35. yi = 2yı - 4y2. v2 = y1 - 3y2. yı(0) = 3. Jz(0) = 0 36. yi = 2y1 + 4y2. 2 = y1 + 2y2. y1(0) 12(0) = -4 37. yi = y2 + u - T). 2 = -yı + utt V1(0) = 1. y2(0) = 0 = -4. 27).
Transcribed Image Text:32. y" + 4y = 8(1 - T) - 8(1 - 27). (0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(t - 2). y(0) = 0. y'(0) = 0 34. yi = y2. v2 = -4yı + 81 - 7). 1(0) = 0. V2(0) = 0 %3D %3D 35. yi = 2yı - 4y2. v2 = y1 - 3y2. yı(0) = 3. Jz(0) = 0 36. yi = 2y1 + 4y2. 2 = y1 + 2y2. y1(0) 12(0) = -4 37. yi = y2 + u - T). 2 = -yı + utt V1(0) = 1. y2(0) = 0 = -4. 27).
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