Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
1) Which of the following are solutions to the homogeneous second-order differential equation
4y 7y -2y=0? Select all that apply.
A) YA
=
Ce2t, where C is any real constant
B) y = 2e-21
6
2t
C) y = C (e- 21 + e21), where C is any real constant
D) 1/3 = 8 (221 + €21)
E) y2 = Ce 2t, where C is any real constant
2t
F) y₁ = 8e +2e2t
G) y5
= (C₁ e²) · (C₂e-21),
where C₁ and C₂ are any real constants
1
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Transcribed Image Text:1) Which of the following are solutions to the homogeneous second-order differential equation 4y 7y -2y=0? Select all that apply. A) YA = Ce2t, where C is any real constant B) y = 2e-21 6 2t C) y = C (e- 21 + e21), where C is any real constant D) 1/3 = 8 (221 + €21) E) y2 = Ce 2t, where C is any real constant 2t F) y₁ = 8e +2e2t G) y5 = (C₁ e²) · (C₂e-21), where C₁ and C₂ are any real constants 1
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