(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y, (x) = Ax? + Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2 + Bsin 2a, D. y, (x) = (Ax + B) cos 2x + (Ca +D) sin 2x E. y,(x) = Axe", and F. y,(x) = e* (A cos 2x + Bsin 2æ) 3z %3D d?y + 4y = x 1. dz? 20 d²y dy + 6- + 8y = e2 2. dx? dx 3. y" + 4y' + 13y = 3 cos 2a y" – 2y' – 15y = e cos 2r 4.

(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y, (x) = Ax? + Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2 + Bsin 2a, D. y, (x) = (Ax + B) cos 2x + (Ca +D) sin 2x E. y,(x) = Axe", and F. y,(x) = e* (A cos 2x + Bsin 2æ) 3z %3D d?y + 4y = x 1. dz? 20 d²y dy + 6- + 8y = e2 2. dx? dx 3. y" + 4y' + 13y = 3 cos 2a y" – 2y' – 15y = e cos 2r 4.

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

(2 points) Match the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations
below.
A. y,(x) = Ax? +Bx + C, B. y,(x) = Ae2", C. y,(x) = A cos 2x +B sin 2x,
D. y,(x) = (Ar + B) cos 2a + (Cx + D) sin 2a E. y,(x) = Axe", and F. Y,(x) = e* (A cos 2x + B sin 2a)
3z
d?y
+ 4y = x
1.
da?
20
d?y
dy
2.
+ 6-
+ 8y = e2
da?
da
3.
y" + 4y' + 13y = 3 cos 2a
3z
y" – 2y' – 15y = e" cos 2a
4.

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