y" + 8y' = - 16y Determine the Characteristic Equation for the Differential Equation and then Solve the Differential Equation.

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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Q7

y" + 8y' = - 16y
Determine the Characteristic Equation for the Differential Equation and then Solve the Differential Equation.
(A) Solutions: R, = 4 and R, = 4
2
B
Solutions: R,
-2 and R,
= 8
Solutions: R = 16 and R
1
- 2
2
D
Solutions: R,
= 4 and R,
1
- 4
2.
E
Solutions: R, = -4 and R, = - 4
1
Transcribed Image Text:y" + 8y' = - 16y Determine the Characteristic Equation for the Differential Equation and then Solve the Differential Equation. (A) Solutions: R, = 4 and R, = 4 2 B Solutions: R, -2 and R, = 8 Solutions: R = 16 and R 1 - 2 2 D Solutions: R, = 4 and R, 1 - 4 2. E Solutions: R, = -4 and R, = - 4 1
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