y" - 9y = -24e-2t, y(0) = 8, y' (0) = 0 16 5 A)y= =그렇 24 e3t + B y = 10 16 e3t + ② y = 0 D) y = (E 16 est + e-3t + 24 5 24 5 24 5 e-2t e-2t e2t e2t There is no correct answer from the given choices.

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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Question
10.
Solve the given differential equation (where the
function is subject to the given conditions) by using
Laplace transforms.
y" - 9y = -24e-²t, y(0) = 8, y' (0) = 0
A) y =
B y = ¹/6
24
5
D) y =
E
e³t+
16
5
Ⓒy= 16 e³t+ 24
5
16
5
e³t+ 24
e-3t+
e-2t
24e-2t
23e²t
22/4/2
5
e²t
There is no correct answer from the given
choices.
Transcribed Image Text:Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms. y" - 9y = -24e-²t, y(0) = 8, y' (0) = 0 A) y = B y = ¹/6 24 5 D) y = E e³t+ 16 5 Ⓒy= 16 e³t+ 24 5 16 5 e³t+ 24 e-3t+ e-2t 24e-2t 23e²t 22/4/2 5 e²t There is no correct answer from the given choices.
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