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Which of the following functions are solutions of the differential equation y" - 2y' - 8y = 0? A. y(x) = 2x B. y(x) = e C. y(x) = e D. y(x) = 0 E. y(x) = 4x F. y(x) = 42 G. y(x) = e-2r

Which of the following functions are solutions of the differential equation y" - 2y' - 8y = 0? A. y(x) = 2x B. y(x) = e C. y(x) = e D. y(x) = 0 E. y(x) = 4x F. y(x) = 42 G. y(x) = e-2r

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following functions are solutions of the differential equation y" – 2y' — 8y = 0? A. y(x) = 2x B. y(x) = eª C. y(x) = e D. y(x) = 0 E. y(x) = 4x F. y(x) G. y(x) = e =e4t -2x
Transcribed Image Text:Which of the following functions are solutions of the differential equation y" – 2y' — 8y = 0? A. y(x) = 2x B. y(x) = eª C. y(x) = e D. y(x) = 0 E. y(x) = 4x F. y(x) G. y(x) = e =e4t -2x
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y' + p(t)y = g(t) and find p(t) and g(t). p(t) = = g(t) = = Y Put the differential equation 5ty + ety' t² + 25 Is the differential equation 5ty + e¹y' : = linear and nonhomogeneous, or nonlinear? You have Answer: Choose Choose Note: In o linear and homogeneous Preview linear and nonhomogeneous nonlinear = Y t² + 25 help (formulas) help (formulas) into the form linear and homogeneous, hswers must be correct.
Transcribed Image Text:y' + p(t)y = g(t) and find p(t) and g(t). p(t) = = g(t) = = Y Put the differential equation 5ty + ety' t² + 25 Is the differential equation 5ty + e¹y' : = linear and nonhomogeneous, or nonlinear? You have Answer: Choose Choose Note: In o linear and homogeneous Preview linear and nonhomogeneous nonlinear = Y t² + 25 help (formulas) help (formulas) into the form linear and homogeneous, hswers must be correct.
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