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Which of the following functions are solutions of the differential equation y" - 2y – 8y = 0? A. y(x) = e4x В. У(х) %3D е-2х С. у(х) — 0 D. y(x) 3D е-х E. y(x) = 4x F. y(x) = e* G. y(x) — —2х %3D II

Which of the following functions are solutions of the differential equation y" - 2y – 8y = 0? A. y(x) = e4x В. У(х) %3D е-2х С. у(х) — 0 D. y(x) 3D е-х E. y(x) = 4x F. y(x) = e* G. y(x) — —2х %3D II

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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Question
**Differential Equations: Identifying Solutions** **Question** Which of the following functions are solutions of the differential equation \( y'' - 2y' - 8y = 0 \)? **Options** - **A.** \( y(x) = e^{4x} \) - **B.** \( y(x) = e^{-2x} \) - **C.** \( y(x) = 0 \) - **D.** \( y(x) = e^{-x} \) - **E.** \( y(x) = 4x \) - **F.** \( y(x) = e^{x} \) - **G.** \( y(x) = -2x \)
Transcribed Image Text:**Differential Equations: Identifying Solutions** **Question** Which of the following functions are solutions of the differential equation \( y'' - 2y' - 8y = 0 \)? **Options** - **A.** \( y(x) = e^{4x} \) - **B.** \( y(x) = e^{-2x} \) - **C.** \( y(x) = 0 \) - **D.** \( y(x) = e^{-x} \) - **E.** \( y(x) = 4x \) - **F.** \( y(x) = e^{x} \) - **G.** \( y(x) = -2x \)
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