Find the homogeneous equation with constant coefficients of least order that has the following as a solution y=2e* + 3 sin(3x) +2x a) O y 5) + 2y 4) – 9y "– 18y "=0 b) O y5) +9y 4) – 18y "+ 6y "=0 c) O y5) – 2y4) – 9y "+ 18y "-0 d) O y 5) – 2y4) +9y "– 18y "=0 y(5) – 18y4) – 9y "+ 6y "=0 f) O None of the above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the homogeneous equation with constant coefficients of least order that has the following as a solution
y =2 e*+3 sin(3x) + 2x
a) O „(5)
+ 2p(4)
- 9y "- 18y "=0
b) O y5 + 9y"
(5)
pl4) – 18 y "+ 6y "=0
(5]
c) O y5) – 2y 4) – 9y "+ 18y "=0
-
(S)
(4)
у5— 2у +9 у "— 18у "-0
e) O y(5) – 18y4) – 9 y "+6y "=0
f) O None of the above.
Transcribed Image Text:Find the homogeneous equation with constant coefficients of least order that has the following as a solution y =2 e*+3 sin(3x) + 2x a) O „(5) + 2p(4) - 9y "- 18y "=0 b) O y5 + 9y" (5) pl4) – 18 y "+ 6y "=0 (5] c) O y5) – 2y 4) – 9y "+ 18y "=0 - (S) (4) у5— 2у +9 у "— 18у "-0 e) O y(5) – 18y4) – 9 y "+6y "=0 f) O None of the above.
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