Use the method of undetermined coefficients to solve the initial value problem. 41 y ==cos2t 8 y = y = y = 41 10 41 10 27 40 -cos2t 27 -sin2t + 40 cos2t 27 40 41 cos2t+sin2t 10 27 40 27 40 -sin2t + 3 2 41 -sin2t + - 4 - 1 4 1 1 41 cos2t+sin2t + 10 - 8 - 8 4 3 + 4 4 y" + 4y = t² + 4e², y(0) = 0, y′(0) = 9 + + + 2 41 ain 9 + 4 4 5 4 Ser जलेल + 9 Ser

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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Use the method of undetermined coefficients to solve the initial value problem.
41
y ==cos2t
8
y =
y =
y =
41
10
41
10
27
40
-cos2t
27
-sin2t +
40
cos2t
27
40
41
cos2t+sin2t
10
27
40
27
40
-sin2t +
3 2
41
-sin2t +
-
4
-
1
4
1
1
41
cos2t+sin2t +
10
-
8
-
8 4
3
+
4
4
y" + 4y = t² + 4e², y(0) = 0, y′(0) = 9
+
+
+
2
41
ain
9
+
4
4
5
4
Ser
जलेल
+
9
Ser
Transcribed Image Text:Use the method of undetermined coefficients to solve the initial value problem. 41 y ==cos2t 8 y = y = y = 41 10 41 10 27 40 -cos2t 27 -sin2t + 40 cos2t 27 40 41 cos2t+sin2t 10 27 40 27 40 -sin2t + 3 2 41 -sin2t + - 4 - 1 4 1 1 41 cos2t+sin2t + 10 - 8 - 8 4 3 + 4 4 y" + 4y = t² + 4e², y(0) = 0, y′(0) = 9 + + + 2 41 ain 9 + 4 4 5 4 Ser जलेल + 9 Ser
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