se the method of undetermined coefficients to solve the initial value problem. y" + 4y = 1 + 8e', y(0) = 0, y (0) = 3 %3D 59 sin2t + 40 59 -sin2t + 40 59 sin2t + 40 3 2 y = cos2t - 3 +=e 5 4 1 10 COS21 7. cos2t 10 59 4 8 7. cos2t + sin2t 10 7 cos2t+ 40 8. +. 5 59 3 sin2t + 10 y%3D 40 4 2/7

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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Your answer is correct.
se the method of undetermined coefficients to solve the initial value problem.
y" +4y = 12 + 8e', y(0) = 0, y(0) = 3
59
-sin2t +
40
59
sin2t +
40
59
sin2t +
40
3.
3.
y =
cos2t-
+-e
5
4
8
y 3D
cos2t
10
7
10
59
4
8.
y3D
cos2t
cos2r +
sin2r
10
7
-sin2t +
10
40
59
8.
4
3
cos2t +
3
+-e'
40
4
1.
7に
Transcribed Image Text:Your answer is correct. se the method of undetermined coefficients to solve the initial value problem. y" +4y = 12 + 8e', y(0) = 0, y(0) = 3 59 -sin2t + 40 59 sin2t + 40 59 sin2t + 40 3. 3. y = cos2t- +-e 5 4 8 y 3D cos2t 10 7 10 59 4 8. y3D cos2t cos2r + sin2r 10 7 -sin2t + 10 40 59 8. 4 3 cos2t + 3 +-e' 40 4 1. 7に
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