Consider the second order linear differential equation ty" -2y' + t² y = 0 Let y1(t) and y2(t) be two linearly independent solutions of the differential equation, and let W(t) be their Wronskian. Compute W(4)/W(2). Enter your answer as an integer in the box provided. No decimals please. Your Answer: Answer Which of the following is a particular solution to the linear differential equation 2 y" − 4 y + 4y = t−4 e²² t t > 0. , Ур = 1 6 t-2 ln(t) Y = 5 6 Y = Ур 1 -2_2 6 1 = In(t) 6 Ур = 1 6 -2 t-² e²+ 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
Consider the second order linear differential equation ty" -2y' + t² y = 0
Let y1(t) and y2(t) be two linearly independent solutions of the differential
equation,
and let W(t) be their Wronskian. Compute W(4)/W(2).
Enter your answer as an integer in the box provided. No decimals please.
Your Answer:
Answer
Transcribed Image Text:Consider the second order linear differential equation ty" -2y' + t² y = 0 Let y1(t) and y2(t) be two linearly independent solutions of the differential equation, and let W(t) be their Wronskian. Compute W(4)/W(2). Enter your answer as an integer in the box provided. No decimals please. Your Answer: Answer
Which of the following is a particular solution to the linear differential equation
2
y" − 4 y + 4y = t−4 e²² t
t > 0.
,
Ур
=
1
6
t-2 ln(t)
Y
=
5
6
Y
=
Ур
1
-2_2
6
1
=
In(t)
6
Ур
=
1
6
-2
t-² e²+ In(t)
Transcribed Image Text:Which of the following is a particular solution to the linear differential equation 2 y" − 4 y + 4y = t−4 e²² t t > 0. , Ур = 1 6 t-2 ln(t) Y = 5 6 Y = Ур 1 -2_2 6 1 = In(t) 6 Ур = 1 6 -2 t-² e²+ In(t)
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