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...
icon
Related questions
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 20 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning