Determine the solution of the differential equation y"" – 6y" + 12y' – 8y = 0 -2x y = C,e-2x + C2xe 2x + C3x?e=2; а. b. y = C,e2x + C2x²e2x + C3x³e²x y = C,e2x + C2xe2x + C3x²e²x с. d. y = C,e-2x + C2e²x + C3x²e²x

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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Question 4
Determine the solution of the differential equation
у'"" — бу" + 12y' -8y 3 0
y = C,e-2x + C,xe-2x + C3x²e-2x
а.
b.
y =
Ce2x
+ C,x²e2x
+ C3x³e2x
y = C,e2x + C2xe²× + C3x²e2x
с.
d.
y = C,e-2x + C,e2x + C,x²e²x
Oc
O a
O b
O d
Transcribed Image Text:Question 4 Determine the solution of the differential equation у'"" — бу" + 12y' -8y 3 0 y = C,e-2x + C,xe-2x + C3x²e-2x а. b. y = Ce2x + C,x²e2x + C3x³e2x y = C,e2x + C2xe²× + C3x²e2x с. d. y = C,e-2x + C,e2x + C,x²e²x Oc O a O b O d
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