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) = 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) = =e3 (A cos 2x + B sin 2x) +6y= e²² 1. d²y dx2 dy 5. dx d²y 2. + 4y -3x²+2x+3 dx2 3. = y"+4y+13y 3 cos 2x - y" 2y-15y3x 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) = 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) = =e3 (A cos 2x + B sin 2x) +6y= e²² 1. d²y dx2 dy 5. dx d²y 2. + 4y -3x²+2x+3 dx2 3. = y"+4y+13y 3 cos 2x - y" 2y-15y3x cos 2x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
Question
Transcribed Image Text: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) = 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) = =e3 (A cos 2x + B sin 2x)
+6y= e²²
1.
d²y
dx2
dy
5.
dx
d²y
2.
+ 4y
-3x²+2x+3
dx2
3.
=
y"+4y+13y 3 cos 2x
-
y" 2y-15y3x cos 2x
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