(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y, (x) = Ax? + Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2 + Bsin 2a, D. y, (x) = (Ax + B) cos 2x + (Ca +D) sin 2x E. y,(x) = Axe", and F. y,(x) = e* (A cos 2x + Bsin 2æ) 3z %3D d?y + 4y = x 1. dz? 20 d²y dy + 6- + 8y = e2 2. dx? dx 3. y" + 4y' + 13y = 3 cos 2a y" – 2y' – 15y = e cos 2r 4.
(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y, (x) = Ax? + Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2 + Bsin 2a, D. y, (x) = (Ax + B) cos 2x + (Ca +D) sin 2x E. y,(x) = Axe", and F. y,(x) = e* (A cos 2x + Bsin 2æ) 3z %3D d?y + 4y = x 1. dz? 20 d²y dy + 6- + 8y = e2 2. dx? dx 3. y" + 4y' + 13y = 3 cos 2a y" – 2y' – 15y = e cos 2r 4.
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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Question
![(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations
below.
A. y,(x) = Ax? +Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2x +B sin 2x,
D. y,(x) = (Ar + B) cos 2a + (Cx + D) sin 2a E. y,(x) = Axe", and F. Y,(x) = e* (A cos 2x + B sin 2a)
3z
d?y
+ 4y = x
1.
da?
20
d?y
dy
2.
+ 6-
+ 8y = e2
da?
da
3.
y" + 4y' + 13y = 3 cos 2a
3z
y" – 2y' – 15y = e" cos 2a
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea4ae8d2-9cff-4d7a-bbd6-417c7c2cac75%2Ff794cd70-fe18-40d4-98e1-b285601e4bf7%2F6ukagqm_processed.png&w=3840&q=75)
Transcribed Image Text:(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations
below.
A. y,(x) = Ax? +Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2x +B sin 2x,
D. y,(x) = (Ar + B) cos 2a + (Cx + D) sin 2a E. y,(x) = Axe", and F. Y,(x) = e* (A cos 2x + B sin 2a)
3z
d?y
+ 4y = x
1.
da?
20
d?y
dy
2.
+ 6-
+ 8y = e2
da?
da
3.
y" + 4y' + 13y = 3 cos 2a
3z
y" – 2y' – 15y = e" cos 2a
4.
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