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Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equatio below. 1. 2. 3. 4. d²y dx² 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) = e³¹ (A cos 2x + B sin 2x) dy -5 +6y= ²2 dx d²y dx² |y" + 4y' + 13y = 3 cos 2x |y" - 2y' - 15y = 3x cos 2x + 4y = -3x²+2x+3

Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equatio below. 1. 2. 3. 4. d²y dx² 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) = e³¹ (A cos 2x + B sin 2x) dy -5 +6y= ²2 dx d²y dx² |y" + 4y' + 13y = 3 cos 2x |y" - 2y' - 15y = 3x cos 2x + 4y = -3x²+2x+3

Advanced Engineering Mathematics
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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Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. 1. 2. 3. 4. d²y dx² d²y dx² — 2x A. yp(x) = Ax² + Bx+C, B. yp(x) = Ae²x, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axe²ª, and F. y(x) = e³ (A cos 2x + B sin 2x) dy dx - 5- +6y= e²x 2x + 4y = −3x² + 2x +3 y" + 4y' + 13y = 3 cos 2x |y" — 2y' — 15y = 3x cos 2x -
Transcribed Image Text:Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. 1. 2. 3. 4. d²y dx² d²y dx² — 2x A. yp(x) = Ax² + Bx+C, B. yp(x) = Ae²x, C. yp(x) = A cos 2x + B sin 2x, D. Yp(x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. yp(x) = Axe²ª, and F. y(x) = e³ (A cos 2x + B sin 2x) dy dx - 5- +6y= e²x 2x + 4y = −3x² + 2x +3 y" + 4y' + 13y = 3 cos 2x |y" — 2y' — 15y = 3x cos 2x -
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