Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below.
A. yp (x) = Ax? + Bx + C, B. y, (x) = Ae2", c. y, (z) = A cos 2x + B sin 2z,
D. y, (2) = (Ar + B) cos 2x + (Cx + D) sin 2x E. y, (r) = Axe2, and F. yp (x) = e (A cos 2x + B sin 2a)
d'y
+ 4y = x
1.
dx?
20
d?y
dy
2.
+ 6
+ 8y = e2z
dr2
da
3.
y" + 4y' + 13y = 3 cos 2x
y" – 2y' – 15y = e cos 2x
4.
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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) = Ax? + Bx + C, B. y, (x) = Ae2", c. y, (z) = A cos 2x + B sin 2z, D. y, (2) = (Ar + B) cos 2x + (Cx + D) sin 2x E. y, (r) = Axe2, and F. yp (x) = e (A cos 2x + B sin 2a) d'y + 4y = x 1. dx? 20 d?y dy 2. + 6 + 8y = e2z dr2 da 3. y" + 4y' + 13y = 3 cos 2x y" – 2y' – 15y = e cos 2x 4.
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