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1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) + 104y(1) – 80y = x² e2x + 3 - 5 cos 3x. Find its particular solution: x²e2x a. Yp = 151e2x + 98 19 cos(3x) xe2x x²e-2x xe-2x 7e-2x b. Ур 28 2744 80 324 486 1. sin(3x) · 5832 40 21 sin(3x) · 2125 725 x²e2x cos(3x) 4250 2900 x²e2x 151e2x 3 xe2x 7e2x С. Ур d. Уp - 98 3 sin(3x) + 28 2744 80 324 486 5832 40 725 COs(3x) 725 Sin(3x) cos(3x) 2900 2900

1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) + 104y(1) – 80y = x² e2x + 3 - 5 cos 3x. Find its particular solution: x²e2x a. Yp = 151e2x + 98 19 cos(3x) xe2x x²e-2x xe-2x 7e-2x b. Ур 28 2744 80 324 486 1. sin(3x) · 5832 40 21 sin(3x) · 2125 725 x²e2x cos(3x) 4250 2900 x²e2x 151e2x 3 xe2x 7e2x С. Ур d. Уp - 98 3 sin(3x) + 28 2744 80 324 486 5832 40 725 COs(3x) 725 Sin(3x) cos(3x) 2900 2900

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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1. Find the general solution of the given differential equation using MUC: y(4) - 4y(3) – 21y(2) + 104y(1) – 80y = x² e2x + 3 – 5 cos 3x. Find its particular solution: x²e2x xe2x 151e2x 3 а. Ур b. Ур x'e-2x xe-2x 7e -2x 3 28 98 19 cos(3x) 2744 80 324 486 1 21 5832 40 sin(3x) - 2125 725 sin(3x) x²e2x d. yp = 4250 cos(3x) 2900 С. Ур x'e2x xe2x 151e2x 3 xe2x + 486 7e2x 3 28 98 3 sin(3x) + 725 2744 80 324 1 5832 40 3 cos(3x) 1 sin(3x) – 725 cos(3x) 2900 2900
Transcribed Image Text:1. Find the general solution of the given differential equation using MUC: y(4) - 4y(3) – 21y(2) + 104y(1) – 80y = x² e2x + 3 – 5 cos 3x. Find its particular solution: x²e2x xe2x 151e2x 3 а. Ур b. Ур x'e-2x xe-2x 7e -2x 3 28 98 19 cos(3x) 2744 80 324 486 1 21 5832 40 sin(3x) - 2125 725 sin(3x) x²e2x d. yp = 4250 cos(3x) 2900 С. Ур x'e2x xe2x 151e2x 3 xe2x + 486 7e2x 3 28 98 3 sin(3x) + 725 2744 80 324 1 5832 40 3 cos(3x) 1 sin(3x) – 725 cos(3x) 2900 2900
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