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 E. yp(x) = Axe2a, and F. Y,(x) = e3" (A cos 2æ + B sin 2a) 1. dy dy 5 + 6y = e2 dx dx? dy + 4y = –3x2 + 2x + 3 dx? 3. y" + 4y + 20y = –3 sin 2x 4. y' – 2y – 15y = e* cos 2x | | 2.
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 E. yp(x) = Axe2a, and F. Y,(x) = e3" (A cos 2æ + B sin 2a) 1. dy dy 5 + 6y = e2 dx dx? dy + 4y = –3x2 + 2x + 3 dx? 3. y" + 4y + 20y = –3 sin 2x 4. y' – 2y – 15y = e* cos 2x | | 2.
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
Yy, for the method of
undetermined coefficients with the
second-order nonhomogeneous
linear equations below.
А. у, (х) — Аг?+ Ва + C, В.
Yp(x) = Ae²", C.
= A cos 2x +B sin 2x,
solutions
D.
Yp(x) = (Ax + B) cos 2x + (Cx +L
E. yp(x) = Axe2", and F.
Yp(x) = e" (A cos 2x + B sin 2x)
1.
d'y
dy
+ 6y = e2*
dx
dx?
2.
dy
+ 4y = -3x2 + 2x + 3
dx?
3.
y' + 4y + 20y = -3 sin 2x
4.
y" – 2y – 15y = e" cos 2x
|
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