Select the best answer to each question. In your solution sheet, write the letter of the correct answer. If your answer is not among the options, write the letter 'E. 1. Find the general solution of the given differential equation using Method of Undetermined Coefficient (MUC): y(4) – 4y" + 4y" = 3e2x + 2 sinx – 8e* cos 2x. Find its general solution of the homogeneous equation: a. y. = c,evZx + C2xevzx + Cze-Vžx + b. ye = Cx + c2 + c3xe2x + cze2* c. y = C + c2x + Cze-2x + C4xe-2x d. Ye = C +C2x + e*(c3 cos(x) + C4 sin(x) Find its particular solution: b. Yp = 습cos 2x + a. Yp e 2x +sin2 x + sin(x) – cos 2x 3ex 16 20 x sinx cos x 25 c. Yp cos(2x) -e*cos x 요sin(x)-cos x- d. Yp 32 8 cos 2x 25 Write your general solution here (In your solution sheet), it might offer the answer from previous questions if I post the choices e
Select the best answer to each question. In your solution sheet, write the letter of the correct answer. If your answer is not among the options, write the letter 'E. 1. Find the general solution of the given differential equation using Method of Undetermined Coefficient (MUC): y(4) – 4y" + 4y" = 3e2x + 2 sinx – 8e* cos 2x. Find its general solution of the homogeneous equation: a. y. = c,evZx + C2xevzx + Cze-Vžx + b. ye = Cx + c2 + c3xe2x + cze2* c. y = C + c2x + Cze-2x + C4xe-2x d. Ye = C +C2x + e*(c3 cos(x) + C4 sin(x) Find its particular solution: b. Yp = 습cos 2x + a. Yp e 2x +sin2 x + sin(x) – cos 2x 3ex 16 20 x sinx cos x 25 c. Yp cos(2x) -e*cos x 요sin(x)-cos x- d. Yp 32 8 cos 2x 25 Write your general solution here (In your solution sheet), it might offer the answer from previous questions if I post the choices e
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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Transcribed Image Text:Select the best answer to each question. In your solution sheet, write the letter of
the correct answer. If your answer is not among the options, write the letter 'E'.
1. Find the general solution of the given differential equation using Method of
Undetermined Coefficient (MUC):
y(4) – 4y" + 4y" = 3e2x + 2 sinx – 8e* cos 2x.
Find its general solution of the homogeneous equation:
a. y. = c,evZx + CzxeVZx + ¢ze¬vZx +
b. Ye = Cx + C2 + c3xe2* + c4e2x
c. ye = C, + C2x + Cze=2x + C4xe¬2x
d. ye = c + C2x + e*(c3 cos(x) +
C4 sin(x)
Find its particular solution:
a. Yp
3e2*x2 6
sin(x) –
b. Ур
=e2x +sin2x +
16
ex sinx
20
cos 2x +
cos 2x
25
3e
cos x
25
c. Yp
cos(2x) –e"cos x
sin(x) – cos x-
d. Yp
32
8
25 Cos 2x
Write your general solution here (In your solution sheet), it might offer the answer
from previous questions if I post the choices
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