Which of the following most nearly gives the general solution for the differential equation (D² – 4D + 4)²y = 0? %3D a) y = C,x + C2x² + e¯3*(C3 + C4x + Cgx² + Cgx³) -3x b) y = C, + C2x +e-2* (C, + C,x + Cgx2 + Cox³) c) y = C, + C2x + e2* (C, + C,x + Cgx? + Cgx³) d) y = C,x + C2x² + e¯*(C3 + C,x + Cgx² + Cgx³) e) y = e*(C, + C2x) + Cz + C4x + C3x² + Cgx³ f) None of the choices
Which of the following most nearly gives the general solution for the differential equation (D² – 4D + 4)²y = 0? %3D a) y = C,x + C2x² + e¯3*(C3 + C4x + Cgx² + Cgx³) -3x b) y = C, + C2x +e-2* (C, + C,x + Cgx2 + Cox³) c) y = C, + C2x + e2* (C, + C,x + Cgx? + Cgx³) d) y = C,x + C2x² + e¯*(C3 + C,x + Cgx² + Cgx³) e) y = e*(C, + C2x) + Cz + C4x + C3x² + Cgx³ f) None of the choices
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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Transcribed Image Text:Which of the following most nearly gives the general solution for the differential equation
(D² – 4D + 4)²y = 0?
a) y = C,x + C2x² + e¯3*(C3 + C4x + Cgx² + C6x³)
b) y = C, + C,x +e-2* (C, + C4x + Czx² + Cgx³)
c) y = C, + C2x + e2* (C3 + C4x + Cgx² + Cgx³)
d) y = C,x + C,x² + e=*(Cz + Czx + Cgx² + Cgx³)
-3x
e) y = e*(C, + C2x) + C3 + C4x + Cgx² + C6x³
f) None of the choices
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