Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the Left Side of the differential equation. A e() = C, 12 + C,1-6 y1) = c,r-3 cos(V2ī In|d|) + C,r-3 sin(/21 In|) © c1) = c,1-2 cos(2/7 Inla|) + C,1-2 sin(2/2 Ine|) 73 y) = C,t + C,1 E ) = C,12 + C,r-7 (停) 23 23 Yc(1) = C,t 2 cos + C,! sin 2
Given the differential equation ty" + 5 ty' - 12y = cot(t) Find the Characteristic Solution for the Left Side of the differential equation. A e() = C, 12 + C,1-6 y1) = c,r-3 cos(V2ī In|d|) + C,r-3 sin(/21 In|) © c1) = c,1-2 cos(2/7 Inla|) + C,1-2 sin(2/2 Ine|) 73 y) = C,t + C,1 E ) = C,12 + C,r-7 (停) 23 23 Yc(1) = C,t 2 cos + C,! sin 2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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q2
![Given the differential equation
t? y" + 5ty' - 12y = cot(t)
Find the Characteristic Solution for the Left Side of the differential equation.
A Y(1) = C,12 + C,1-6
y(1) = c,1-3 cos( /2ī In|4|) + C,r-3 sin(/2ī In|)
© c1) = c,1-2 cos(2/7 Inlt|)
+ C,1-2 sin(2/2 Ine|)
73
Dy() = C,t
+ C,t
E y) = C,12 + C,r-7
(學)
23
23
F
c(1) = C,t
2
cos
+ C,!
sin
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4df1ae9d-81b1-43f4-beb8-f4a94ce61cbc%2F625b97ff-b2f5-415d-9383-6239aa443b73%2Flhenuib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the differential equation
t? y" + 5ty' - 12y = cot(t)
Find the Characteristic Solution for the Left Side of the differential equation.
A Y(1) = C,12 + C,1-6
y(1) = c,1-3 cos( /2ī In|4|) + C,r-3 sin(/2ī In|)
© c1) = c,1-2 cos(2/7 Inlt|)
+ C,1-2 sin(2/2 Ine|)
73
Dy() = C,t
+ C,t
E y) = C,12 + C,r-7
(學)
23
23
F
c(1) = C,t
2
cos
+ C,!
sin
2
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