Please answer all parts and give correct answers Match the following guessfor 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,solutionsYpD. 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?1.20dy+ 6dz2dy2.+ 8y = e2zdr3.y" + 4y + 20y = -3 sin 2x4.y" – 2y – 15y = e cos 2x

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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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Please answer all parts and give correct answers

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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