siven the differential equation dy + 3t dt + 4y = 2 e" cos(5t) di2 Determine the Characteristic Equation for the given Differential Equation and then find its Solutions. A Characteristic Solutions: R, = 1 and R, = - 4 B Characteristic Solutions: R, = 1.24 and R, = -3.24

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Given the differential equation
d²y
dy
+ 3t
dt
+ 4y = 2 e cos(5t)
12
COS
|
di?
Determine the Characteristic Equation for the given Differential Equation and then find its Solutions.
(A Characteristic Solutions: R,
1 and R,
- 4
%3D
B)
Characteristic Solutions: R, = 1.24 and R,
1
= - 3.24
-3
C) Characteristic Solutions: R =
Characteristic Solutions: R = -1 ± i
E Characteristic Solutions: R,
-2 and R,
- 2
F)
Characteristic Solutions: R = - 1 ± 3 i
2.
Transcribed Image Text:Given the differential equation d²y dy + 3t dt + 4y = 2 e cos(5t) 12 COS | di? Determine the Characteristic Equation for the given Differential Equation and then find its Solutions. (A Characteristic Solutions: R, 1 and R, - 4 %3D B) Characteristic Solutions: R, = 1.24 and R, 1 = - 3.24 -3 C) Characteristic Solutions: R = Characteristic Solutions: R = -1 ± i E Characteristic Solutions: R, -2 and R, - 2 F) Characteristic Solutions: R = - 1 ± 3 i 2.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,