Match the following guess solutions y, for the method of undetermined coefficients with the secon order nonhomogeneous linear equations below. 1. A. Yp(x) = Ax² + Bx + C, B. y(x) = Ae²*, C. yp(x) = A cos 2x + B sin 2x, D. y(x) = (A + B) cos 2x + (Cx + D) sin 2x E. y(x) = Ace ²*, and F. Yp(x)=e³ (A cos 2x + B sin 2x) 2. B d²y dx² dy -5- +6y=e²x da d'y dx² 3. Cy" + 4y + 13y = 3 cos 2x 4. Fy" - 2y 15y = ³ cos 2x +4y=-3x² + 2x +3
Match the following guess solutions y, for the method of undetermined coefficients with the secon order nonhomogeneous linear equations below. 1. A. Yp(x) = Ax² + Bx + C, B. y(x) = Ae²*, C. yp(x) = A cos 2x + B sin 2x, D. y(x) = (A + B) cos 2x + (Cx + D) sin 2x E. y(x) = Ace ²*, and F. Yp(x)=e³ (A cos 2x + B sin 2x) 2. B d²y dx² dy -5- +6y=e²x da d'y dx² 3. Cy" + 4y + 13y = 3 cos 2x 4. Fy" - 2y 15y = ³ cos 2x +4y=-3x² + 2x +3
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Match the following guess solutions y, for the method of undetermined coefficients with the second-
order nonhomogeneous linear equations below.
A. Yp(x) = Ax² + Bx+C, B. Yp(x) = Ae²*, C. yp(x) = A cos 2x + B sin 2x,
D. yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axe²*, and F.
Yp(x) = e³2 (A cos 2x + B sin 2x)
2. B
d²y
dx²
dy
da
2x
+6y= €²x
d'y
dx²
3. Cy" + 4y + 13y = 3 cos 2x
4. Fy" - 2y - 15y = e³ cos 2x
+4y=-3x² + 2x + 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f867cd3-86ca-418d-9bd4-0389897a4f3d%2Fbfa6a6de-2f90-461f-8028-e1b87738a126%2Fvruoyv_processed.png&w=3840&q=75)
Transcribed Image Text:Match the following guess solutions y, for the method of undetermined coefficients with the second-
order nonhomogeneous linear equations below.
A. Yp(x) = Ax² + Bx+C, B. Yp(x) = Ae²*, C. yp(x) = A cos 2x + B sin 2x,
D. yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axe²*, and F.
Yp(x) = e³2 (A cos 2x + B sin 2x)
2. B
d²y
dx²
dy
da
2x
+6y= €²x
d'y
dx²
3. Cy" + 4y + 13y = 3 cos 2x
4. Fy" - 2y - 15y = e³ cos 2x
+4y=-3x² + 2x + 3
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