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Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations A. y, (x) = Ax? + Bx+ C, B. y,(x) = Ae²*, c.y,(x) = A cos 2x + B sin 2x, = (Ax + B) cos 2x+ (Cx + D) sin 2x E. y, (x) = Axe*, and F. y, (x) = e*(A cos 2x + B sin 2x) D. y, (x) d²y + 4y = x – dx2 x2 20 d²y dy dx +6- + 8y = e2* dx2 V" + 4v + 20y = -3 sin 2x

Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations A. y, (x) = Ax? + Bx+ C, B. y,(x) = Ae²*, c.y,(x) = A cos 2x + B sin 2x, = (Ax + B) cos 2x+ (Cx + D) sin 2x E. y, (x) = Axe*, and F. y, (x) = e*(A cos 2x + B sin 2x) D. y, (x) d²y + 4y = x – dx2 x2 20 d²y dy dx +6- + 8y = e2* dx2 V" + 4v + 20y = -3 sin 2x

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 y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations A. y, (x) = Ax + Bx + C, B. y,(x) = Ae, C. y, (x) = A cos 2x + B sin 2x, D. y, (x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. y, (x) = Axe*, and F. yp (x) = e* (A cos 2x + B sin 2x) d?y +4y 3D х— dx2 x2 20 d?y dy + 6 + 8y = e2x dx2 dx y" + 4y + 20y = -3 sin 2x y" – 2y – 15y = 3x cos 2x
Transcribed Image Text:Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations A. y, (x) = Ax + Bx + C, B. y,(x) = Ae, C. y, (x) = A cos 2x + B sin 2x, D. y, (x) = (Ax + B) cos 2x + (Cx + D) sin 2x E. y, (x) = Axe*, and F. yp (x) = e* (A cos 2x + B sin 2x) d?y +4y 3D х— dx2 x2 20 d?y dy + 6 + 8y = e2x dx2 dx y" + 4y + 20y = -3 sin 2x y" – 2y – 15y = 3x cos 2x
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