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Match the following guess for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(z) = Ar + Bx + C, B. y,(r) = Ae2", C. y,(r) = A cos 2x + Bsin 2z, solutions Yp D. y,(z) = (Ar + B) cos 2x + (Cr +D) sin 2x E. y,(z) = Are", and E y,(r) = e (A cos 2r + Bsin 2a) dy +4y = 1 - da? 1. 20 dy + 6 dz2 dy 2. + 8y = e2z dr 3. y' + 4y + 20y = -3 sin 2x 4. y" – 2y – 15y = e cos 2x

Match the following guess for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(z) = Ar + Bx + C, B. y,(r) = Ae2", C. y,(r) = A cos 2x + Bsin 2z, solutions Yp D. y,(z) = (Ar + B) cos 2x + (Cr +D) sin 2x E. y,(z) = Are", and E y,(r) = e (A cos 2r + Bsin 2a) dy +4y = 1 - da? 1. 20 dy + 6 dz2 dy 2. + 8y = e2z dr 3. y' + 4y + 20y = -3 sin 2x 4. y" – 2y – 15y = e cos 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 for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(1) = Ar² + Bx + C, B. y,(r) = Ae2", C. yp(r) = A cos 2x + Bsin 2z, solutions Yp D. y,(z) = (Ar + B) cos 2x + (Cr +D) sin 2x E. y,(x) = Are", and E yp(r) = e3"(A cos 2r + Bsin 2r) d'y +4y = 1 – da? 1. 20 dy + 6 dz2 dy 2. + 8y = e2z dr 3. y" + 4y + 20y = -3 sin 2x 4. y" – 2y – 15y = e cos 2x
Transcribed Image Text:Match the following guess for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(1) = Ar² + Bx + C, B. y,(r) = Ae2", C. yp(r) = A cos 2x + Bsin 2z, solutions Yp D. y,(z) = (Ar + B) cos 2x + (Cr +D) sin 2x E. y,(x) = Are", and E yp(r) = e3"(A cos 2r + Bsin 2r) d'y +4y = 1 – da? 1. 20 dy + 6 dz2 dy 2. + 8y = e2z dr 3. y" + 4y + 20y = -3 sin 2x 4. y" – 2y – 15y = e cos 2x
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