35. yi 2y1 4y2. i = y1 - 3y2. yı(0) = 3. J2(0) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
ODEs and Systems
Solve by Laplace Transform and graph the solution.
(Please answer only 35-37)
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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