А. 1p (т) — Аа? + Вa + C, в. у, («) — Ае", С. Ур (2). A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2a + (Cx +D) sin 2x E. yp(x) = Axe2", and F. yp(x) = e (A cos 2x + B sin 2x) d?y dy 5. + 6y = e2z dx 1. dx? d'y + 4y = dx? 2. -3x2 + 2x + 3 y" + 4y' + 20y = –3 sin 2x 3. y" – 2y' – 15y = e* cos 2x 4. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below (see image). 

А. 1p (т) — Аа? + Вa + C, в. у, («) — Ае",
С. Ур (2).
A cos 2x + B sin 2x,
D. Yp(x) = (Ax + B) cos 2a + (Cx +D) sin 2x E. yp(x) = Axe2", and F. yp(x) = e (A cos 2x + B sin 2x)
d?y
dy
5.
+ 6y = e2z
dx
1.
dx?
d'y
+ 4y =
dx?
2.
-3x2 + 2x + 3
y" + 4y' + 20y = –3 sin 2x
3.
y" – 2y' – 15y = e* cos 2x
4.
2.
Transcribed Image Text:А. 1p (т) — Аа? + Вa + C, в. у, («) — Ае", С. Ур (2). A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2a + (Cx +D) sin 2x E. yp(x) = Axe2", and F. yp(x) = e (A cos 2x + B sin 2x) d?y dy 5. + 6y = e2z dx 1. dx? d'y + 4y = dx? 2. -3x2 + 2x + 3 y" + 4y' + 20y = –3 sin 2x 3. y" – 2y' – 15y = e* cos 2x 4. 2.
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