Question 2 Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms. y" + 4y' +29y = 0, y(0) = 1, y' (0) = 2 A y = -2t sin 5t

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 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
icon
Related questions
Question
100%
CALCULUS (UPVOTE WILL BE GIVEN. CHOOSE THE CORRECT ANSWER. PLEASE WRITE THE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED. ANSWER IT ASAP.)
Question 2
Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms.
y" + 4y' +29y = 0, y(0) = 1, y' (0) = 2
Ay-e-
y=e-2t sin 5t
By-e-2t(5 sin 5t + 4 cos 5t)
y = e-2t(5 cos 5t + 4 sin 5t)
1
(D) y = -2(5 cos 5t + 4 sin 5t)
(E) There is no correct answer from the given choices.
Transcribed Image Text:Question 2 Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms. y" + 4y' +29y = 0, y(0) = 1, y' (0) = 2 Ay-e- y=e-2t sin 5t By-e-2t(5 sin 5t + 4 cos 5t) y = e-2t(5 cos 5t + 4 sin 5t) 1 (D) y = -2(5 cos 5t + 4 sin 5t) (E) There is no correct answer from the given choices.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer