Select the best answer to each question. In your solution sheet, write t the correct answer. If your answer is not among the options, write the 1. Find using Method of Undetermined Coefficient (MUC):
Select the best answer to each question. In your solution sheet, write t the correct answer. If your answer is not among the options, write the 1. Find using Method of Undetermined Coefficient (MUC):
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

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 using Method of Undetermined Coefficient (MUC):
y(4) – y(3) – y(2) + y(1) = xe¬2* – 10x? + 8 cos(2x).
a. Find its general solution of the homogeneous equation:
b. yc = c1 + Cze¯* + e¬*(c3 cos(x) +
C4 sin(x)
d. Yc = C1 + Cze¯* + e*(c3 cos(x) +
C4 sin(x)
a. Yc = C1 + c2xe¯* + c3e* + C4xe*
C. Yc = C1e* + c2xe¯* + C3e* + C4xe*
b. Find its particular solution:
10x3
+
e-2*
5x3
13
+
108
e-2x
13
5x2 –
-2x
+ 10x² +
b. Ур
-2x
а. Ур
18
54
4
8
8
20х +
25
4
sin(2x) – cos(2x)
sin(2x)
cos(2x)
40x
- -
- -
- -
25
25
-2x
e
-2x
5x3
+ 5x? +
10x3
13
e-2x
108
13
10x2 –
d. Yp
-2x
с. Ур
-
18
4
40x +
25
3
9
8
54
3
4
8
sin(2x) + cos(2x)
sin(2x) +
cos(2x)
20x
25
25
c. Write your general solution here (In your solution sheet), it might give the answer
from previous questions if I post the choices
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