Solve the given differential equation. y" + 4y = 12y' The values c₁ and c₂ are arbitrary constants. Choose the correct answer below. A. y=c₁e (6+4√²) x + ₂x e (6-4√2) x C OB. e (6 + 4√² ) × + C₂ c (6 - 4√²) × y=C₁ e OC. y=c₁ cos (6+4√2)+c₂ sin (6-4√√2) D. y=C₁ e (−6+4√²) × + C₂ e (-6-4√2)x

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...
icon
Related questions
Question
Solve the given differential equation.
y" + 4y = 12y'
The values c₁ and c₂ are arbitrary constants. Choose the correct answer below.
y=ce (6+442)x+oxe
+4√2)
OA.
(6-4√2) x
y=C₁ e
e (6 + 4√² ) × + C₂ e (6 - 4√²) ×
OC. y=c₁ cos (6+4√2)+c₂ sin (6-4√2)
OD. y=₁e (-6+4√2)x+C₂ e (-6-4√2)×
О в.
Transcribed Image Text:Solve the given differential equation. y" + 4y = 12y' The values c₁ and c₂ are arbitrary constants. Choose the correct answer below. y=ce (6+442)x+oxe +4√2) OA. (6-4√2) x y=C₁ e e (6 + 4√² ) × + C₂ e (6 - 4√²) × OC. y=c₁ cos (6+4√2)+c₂ sin (6-4√2) OD. y=₁e (-6+4√2)x+C₂ e (-6-4√2)× О в.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning