I. 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) + 2y"" +2y" = 3e* + 2xe¯* + e¯* sinx. a. Find its general solution of the homogeneous equation: a. Yc = C1 +c2x + cze¯2x + C4xe-2x C. Yc = c1 + C2x + C3e2x + c4xe2x b. yc = c1+ C2x + e*(C3 cos(x) + C4 sin(x) d. Yc = c1 + C2x + e*(c3 cos(x) + C4 sin(x) b. Find its particular solution: Зех +2xe* + 4e¬* + 2e*x d. Y, = - b. y, = 3e* + + 9 1 -* sin(x) + 3 sin x cosx 25 2e*x 100 3e* 16 С. У, — + 2xe¬* + 4e 5 d. y, = 3e* + 9. 1 27 3 - sin x -* sin(x) +e¯* cosx 100 25
I. 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) + 2y"" +2y" = 3e* + 2xe¯* + e¯* sinx. a. Find its general solution of the homogeneous equation: a. Yc = C1 +c2x + cze¯2x + C4xe-2x C. Yc = c1 + C2x + C3e2x + c4xe2x b. yc = c1+ C2x + e*(C3 cos(x) + C4 sin(x) d. Yc = c1 + C2x + e*(c3 cos(x) + C4 sin(x) b. Find its particular solution: Зех +2xe* + 4e¬* + 2e*x d. Y, = - b. y, = 3e* + + 9 1 -* sin(x) + 3 sin x cosx 25 2e*x 100 3e* 16 С. У, — + 2xe¬* + 4e 5 d. y, = 3e* + 9. 1 27 3 - sin x -* sin(x) +e¯* cosx 100 25
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:I.
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) + 2y" + 2y"
Зех + 2хех+е * sinх.
e
a. Find its general solution of the homogeneous equation:
-2x
+
a. Yc = C1 + c2x + Cze
C4xe 2x
C. Yc = C1 + C2x + C3e2x + C4xe2x
b. y. = C1 + C2X +
e-*(C3 cos(x) + C4 sin(x)
d. yc = C1+ c2x + e*(c3 cos(x) +
C4 sin(x)
b. Find its particular solution:
3ex
2e*x
16
e
27
1
e
25
+ 2xe
b. Ур
Зех +
9.
-x
-x
а. Ур
+ 4e
e-*
sin x
4
3
-x
e
100
sin(x) +
cosx
3e*
2e*x
С. Ур
+ 2xe* + 4e*
5
d.
Yp
Зе* +
9.
16
e-x –
27
sin x
4
3
e
100
-* sin(x) +
e
cosx
25
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