Consider y = cje2* + czesa + 4e" and the differential equation y" - 10y' + 16y = 28e". Which of the following best describes y as a solution to this differential equation on the interval (-0o, o)? O A. y is a general solution, but not linearly independent O B. y is not a solution OC. y is a two-parameter family of solutions, but not general OD. y is a general solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Differential Equations

Consider y =
Ce2a + cze8a + 4e" and the differential equation y" – 10y' + 16y = 28e". Which of the following best
describes y as a solution to this differential equation on the interval (-00, 0)?
A. y is a general solution, but not linearly independent
B. y is not a solution
O C. y is a two-parameter family of solutions, but not general
OD. y is a general solution
Transcribed Image Text:Consider y = Ce2a + cze8a + 4e" and the differential equation y" – 10y' + 16y = 28e". Which of the following best describes y as a solution to this differential equation on the interval (-00, 0)? A. y is a general solution, but not linearly independent B. y is not a solution O C. y is a two-parameter family of solutions, but not general OD. y is a general solution
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