Solve the initial value problem. State which rule you are using. Show each step of your calculation in detail. 11. y" + 3y = 1&x2, y(0) = -3, y'(0) = 0 12. y" + 4y = -12 sin 2x, y(0) = 1.8, y'(0) = 5.0 13. 8y" – 6y' + y = 6 cosh x, y(0) = 0.2, y'(0) = 0.05 14. y" + 4y' + 4y = e-2 sin 2x, y(0) = 1, y' (0) = -1.5 15. (x D² – y(1) = 0, y'(1) = 1; yp = In x 16. (D2 – 2D)y = 6e2x – 4e-2, y(0) = -1, y'(0) = 6 17. (D² + 0.2D + 0.26/)y y'(0) = 0.35 %3D %3D %3D %3D %3D %3D %3D %3D 3xD + 31)y = 3 In x 4, %3D %3D %3D = 1.22e0.5x, y(0) = 3.5, %3D %3D
Solve the initial value problem. State which rule you are using. Show each step of your calculation in detail. 11. y" + 3y = 1&x2, y(0) = -3, y'(0) = 0 12. y" + 4y = -12 sin 2x, y(0) = 1.8, y'(0) = 5.0 13. 8y" – 6y' + y = 6 cosh x, y(0) = 0.2, y'(0) = 0.05 14. y" + 4y' + 4y = e-2 sin 2x, y(0) = 1, y' (0) = -1.5 15. (x D² – y(1) = 0, y'(1) = 1; yp = In x 16. (D2 – 2D)y = 6e2x – 4e-2, y(0) = -1, y'(0) = 6 17. (D² + 0.2D + 0.26/)y y'(0) = 0.35 %3D %3D %3D %3D %3D %3D %3D %3D 3xD + 31)y = 3 In x 4, %3D %3D %3D = 1.22e0.5x, y(0) = 3.5, %3D %3D
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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solve question 14 pleaseeee
Transcribed Image Text:Solve the initial value problem. State which rule you are
using. Show each step of your calculation in detail.
11. y" + 3y = 1&x2, y(0) = -3, y'(0) = 0
12. y" + 4y = -12 sin 2x, y(0) = 1.8, y'(0) = 5.0
13. 8y" – 6y' + y = 6 cosh x, y(0) = 0.2,
y'(0) = 0.05
14. y" + 4y' + 4y = e-2* sin 2x, y(0) = 1,
y' (0) = -1.5
15. (x D2 –
y(1) = 0, y'(1) = 1; yp = In x
16. (D2 – 2D)y = 6e2x – 4e
17. (D² + 0.2D + 0.26/)y
y' (0) = 0.35
%3D
%3D
%3D
%3D
%3D
%3D
%3D
%3D
3xD + 31)y = 3 In x 4,
%3D
%3D
-2, y(0) = -1, y'(0) = 6
= 1.22e0.5x, y(0) = 3.5,
%3D
%3D
%3D
%3D
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