Find the general solution of the given equation. y"-y' - 12y=0 Choose the correct solution below. c, and c₂ are arbitrary constants. OA. y=c₁e4x + ₂x4x OB. y=C₁e4x+c₂e-38 OC. y=c₁e- 4x + c₂e³x O D. y = C₁ cos (4x) + C₂ sin (-3x)

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
Find the general solution of the given equation.
y" -y' - 12y=0
Choose the correct solution below. c₁ and c₂ are arbitrary constants.
O A. y=c₁e4x +
+C₂xe4x
OB. y=c₁e4x + c₂e-³x
OC. y=c₁e
- 4x +
-C₂e³x
O D. y=c₁ cos (4x) + C₂ sin (-3x)
(-)
Transcribed Image Text:Find the general solution of the given equation. y" -y' - 12y=0 Choose the correct solution below. c₁ and c₂ are arbitrary constants. O A. y=c₁e4x + +C₂xe4x OB. y=c₁e4x + c₂e-³x OC. y=c₁e - 4x + -C₂e³x O D. y=c₁ cos (4x) + C₂ sin (-3x) (-)
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