Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms. y" - 4y = 8e³t, y(0) = 4, y' (0) = 0

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 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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7.
Solve the given differential equation (where the
function is subject to the given conditions) by using
Laplace transforms.
y" - 4y = 8e³t, y(0) = 4, y' (0) = 0
A) y = 1¹/2/2/2
B) y =
G| co
5
E
에서
e-2t +
(c) y=
y= 1/2²/2
G7 | 00
e-2t +
5
e-2t + 11/12/2
12 e3t
e³t
5
G| Co
D) y
y = 1/2 e²t + 9/1
e-3t
e³t
e-3t
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" - 4y = 8e³t, y(0) = 4, y' (0) = 0 A) y = 1¹/2/2/2 B) y = G| co 5 E 에서 e-2t + (c) y= y= 1/2²/2 G7 | 00 e-2t + 5 e-2t + 11/12/2 12 e3t e³t 5 G| Co D) y y = 1/2 e²t + 9/1 e-3t e³t e-3t There is no correct answer from the given choices.
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