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Which of the following functions are solutions of the differential equation y" + 4y' + 4y = 0? m=-2 A.y(x) = e + 2z B.y(r) = -2x ✓C. y(x) = x²e-21 =e-2z ✓ D.y(x) = e` ✓E. y(x) = xe 2z F. y(x) = 0 G. y(r) = − 2re+2z

Which of the following functions are solutions of the differential equation y" + 4y' + 4y = 0? m=-2 A.y(x) = e + 2z B.y(r) = -2x ✓C. y(x) = x²e-21 =e-2z ✓ D.y(x) = e` ✓E. y(x) = xe 2z F. y(x) = 0 G. y(r) = − 2re+2z

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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I got the auxiliary equation as m^2 +4m+4=0. m=-2. For this question, why these 3 are not the answers? Please explain and provide the correct answers. Thank you!

Which of the following functions are solutions of the differential equation y" + 4y' + 4y =0? m=-2 A. y(x) = e + 2r B. y(x) -2x C. y(x) = x²e-2r -2x |D. y(x) = e -2x |E. (2)= re F. y(x) = 0 □G.y(x) = -2xe+2x
Transcribed Image Text:Which of the following functions are solutions of the differential equation y" + 4y' + 4y =0? m=-2 A. y(x) = e + 2r B. y(x) -2x C. y(x) = x²e-2r -2x |D. y(x) = e -2x |E. (2)= re F. y(x) = 0 □G.y(x) = -2xe+2x
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