Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = + 10e', y(0) = 0, y (0) = 7 25 75 -sin 2t + 40 3 2 7 y = cos 2t - | 4 25 75 cos 2t + 40 25 -sin 2t 10 1 1 10 y = - 5 75 Cos 2t + 40 25 sin 2t + 10 3 2 7 y = + 4- -e' 4 25 5 25 1 10 75 -sin 2t + 40 y = cos 2t 10 8 5 25 75 -sin 2t + 40 1 10 ť + 4 y = cos 2t · | 10 4 4 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method of undetermined coefficients to solve the initial value problem.
y" + 4y = + 10e', y(0) = 0, y (0) = 7
25
75
-sin 2t +
40
3
2
7
y =
cos 2t
-
|
4
25
75
cos 2t +
40
25
-sin 2t
10
1
1
10
y =
-
5
75
Cos 2t +
40
25
sin 2t +
10
3
2
7
y =
+ 4-
-e'
4
25
5
25
1
10
75
-sin 2t +
40
y =
cos 2t
10
8
5
25
75
-sin 2t +
40
1
10
ť +
4
y =
cos 2t ·
|
10
4
4
+
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. y" + 4y = + 10e', y(0) = 0, y (0) = 7 25 75 -sin 2t + 40 3 2 7 y = cos 2t - | 4 25 75 cos 2t + 40 25 -sin 2t 10 1 1 10 y = - 5 75 Cos 2t + 40 25 sin 2t + 10 3 2 7 y = + 4- -e' 4 25 5 25 1 10 75 -sin 2t + 40 y = cos 2t 10 8 5 25 75 -sin 2t + 40 1 10 ť + 4 y = cos 2t · | 10 4 4 +
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