Which of the following is a particular solution to the linear differential equation -5 y″ +4y' + 4y = t−5 e¯²t, t > 0. Yp = 1 -3 12 t e -2 t Ур = 7 12 t- Ур = 1 12 ť -3 -3 e -2t Ур = 1 12 e -2 t In(t) In(t) Ур = 1 12 -3 t-³ In(t)

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...
Question
Which of the following is a particular solution to the linear differential equation
-5
y″ +4y' + 4y = t−5 e¯²t,
t > 0.
Yp
=
1 -3
12
t e
-2 t
Ур
=
7
12
t-
Ур
=
1
12
ť
-3
-3
e
-2t
Ур
=
1
12
e
-2 t
In(t)
In(t)
Ур
=
1
12
-3
t-³ In(t)
Transcribed Image Text:Which of the following is a particular solution to the linear differential equation -5 y″ +4y' + 4y = t−5 e¯²t, t > 0. Yp = 1 -3 12 t e -2 t Ур = 7 12 t- Ур = 1 12 ť -3 -3 e -2t Ур = 1 12 e -2 t In(t) In(t) Ур = 1 12 -3 t-³ In(t)
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