Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ax² + Bx + C, B. yp(x) = Ae²ª, 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. 1. 2. 3. 4. 3x Yp(x) = e³x (A cos 2x + B sin 2x) d²y dx² - 5 dy dx + 6y = e²x ď²y dx² y" + 4y + 13y = 3 cos 2x + 4y −3x²+2x+3 = y" – 2y' — 15y = 3x cos 2x -
Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. yp(x) = Ax² + Bx + C, B. yp(x) = Ae²ª, 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. 1. 2. 3. 4. 3x Yp(x) = e³x (A cos 2x + B sin 2x) d²y dx² - 5 dy dx + 6y = e²x ď²y dx² y" + 4y + 13y = 3 cos 2x + 4y −3x²+2x+3 = y" – 2y' — 15y = 3x cos 2x -
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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Transcribed Image Text:Match the following guess solutions Ур 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,
2x
D. yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E.
Yp(x) = Axe²x, and F.
Yp(x) = e³ (A cos 2x + B sin 2x)
1.
2.
3.
4.
d²y
dx²
d²y
dx²
dy
5.
dx
+ 6y:
=
2x
e²x
+ 4y = −3x² + 2x + 3
y" + 4y + 13y = 3 cos 2x
y" – 2y' — 15y = 3x cos 2x
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