Determine the solution of the differential equation y"'-6y" + 12y'-8y = 0 %3D y = C,e-2x + C,xe-2x + C3x²e¬2% a. %3D b. y = C,e2x+ C2x²e2x + C3x³e?x %3D y = C,e2x+ C2xe?x+ C3x2e2x с. %3D d. y C,e-2x + Cze2x + C,x²e2x %3D

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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Determine the solution of the differential equation
y- 6y"+ 12y' -8y = 0
%3D
y = C,e-2x + C2xe-2x
+ C3x²e¯2x
a.
%3D
b.
y = C,e2x+ C2x?e2x + C3x³e2x
%3D
y = C,e2x + C2xe2x + C3x²e2x
d.
y = C,e-2x +
+ Cze2x + C3x²e2x
C.
Transcribed Image Text:Determine the solution of the differential equation y- 6y"+ 12y' -8y = 0 %3D y = C,e-2x + C2xe-2x + C3x²e¯2x a. %3D b. y = C,e2x+ C2x?e2x + C3x³e2x %3D y = C,e2x + C2xe2x + C3x²e2x d. y = C,e-2x + + Cze2x + C3x²e2x C.
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