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2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – 2xe-3x + 5 sin 4x y(0) = 1, y'(0) = -2, y"(0) = 3 Find its particular solution. a. yp = 4x3 + 24x² + 120x + 240 + b. Yp = -4x3 - 24x² – 120x – 240 – 8 Ie-3x 29 8. Xe-3x 29 -3x sin(4x) – 221 22 Cos(4x) - + e-3x 28 1 cos(4x) 28 1 784 784 221 sin(4x) 4x3 + 24x2 + 120x + 240 + 4x3 + 24x2 + 120x + 240 + С. Ур Xo-3x d. Уp 29 29 + 784 e-3x 28 8 -cos(4x) 221 e-3x + -e-3x cos(4x) + + 221 Sin(4x) + 784 28 8. 221 221 sin(4x)

2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – 2xe-3x + 5 sin 4x y(0) = 1, y'(0) = -2, y"(0) = 3 Find its particular solution. a. yp = 4x3 + 24x² + 120x + 240 + b. Yp = -4x3 - 24x² – 120x – 240 – 8 Ie-3x 29 8. Xe-3x 29 -3x sin(4x) – 221 22 Cos(4x) - + e-3x 28 1 cos(4x) 28 1 784 784 221 sin(4x) 4x3 + 24x2 + 120x + 240 + 4x3 + 24x2 + 120x + 240 + С. Ур Xo-3x d. Уp 29 29 + 784 e-3x 28 8 -cos(4x) 221 e-3x + -e-3x cos(4x) + + 221 Sin(4x) + 784 28 8. 221 221 sin(4x)

Advanced Engineering Mathematics
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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2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – 2xe-3x + 5 sin 4x y(0) = 1, y'(0) = -2, y"(0) = 3 Find its particular solution. b. yp = -4x3 – 24x2 – 120x – 240 – e-3x a. yp = 4x3 + 24x² + 120x + 240 + 29 -3x + sin(4x) – 8 29 8 cos(4x) – -3x -3x + e 784 221 28 1 221 784 28 1 -cos(4x) 221 221 sin(4x) С. Ур 4x3 + 24x2 + 120x + 240 + d. Ур 4x3 + 24x2 + 120x + 240 + 29 29 e-3x 784 -3x + e 784 -sin(4x) + e-3x 28 8. cos(4x) 221 -3x cos(4x) + 28 8. 221 221
Transcribed Image Text:2. Find the solution of the given initial value problem using MUC: 2y(3) – y(2) – 2y(1) + y = 4x3 – 2xe-3x + 5 sin 4x y(0) = 1, y'(0) = -2, y"(0) = 3 Find its particular solution. b. yp = -4x3 – 24x2 – 120x – 240 – e-3x a. yp = 4x3 + 24x² + 120x + 240 + 29 -3x + sin(4x) – 8 29 8 cos(4x) – -3x -3x + e 784 221 28 1 221 784 28 1 -cos(4x) 221 221 sin(4x) С. Ур 4x3 + 24x2 + 120x + 240 + d. Ур 4x3 + 24x2 + 120x + 240 + 29 29 e-3x 784 -3x + e 784 -sin(4x) + e-3x 28 8. cos(4x) 221 -3x cos(4x) + 28 8. 221 221
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