How many of the following are descriptions of the vector y for the equation y′ vector =A(y vector) where A is a 2×2 matrix? (The vector symbol wasn't working so I just used the word.) A. a function y(t) whose derivative is y′(t) B. a solution to a certain homogeneous system of linear ODEs C. an eigenvector for A D. a vector function y(t)=(y1(t) y2(t)) whose derivative is the vector function y′(t)=(y′1(t) y′2(t)) E. a linear combination of exponential functions of the form e^λjt for the eigenvalues λj of A F. a vector y whose derivative is the vector 0 G. a vector whose entries are the two eigenvalues of A
How many of the following are descriptions of the vector y for the equation y′ vector =A(y vector) where A is a 2×2 matrix? (The vector symbol wasn't working so I just used the word.) A. a function y(t) whose derivative is y′(t) B. a solution to a certain homogeneous system of linear ODEs C. an eigenvector for A D. a vector function y(t)=(y1(t) y2(t)) whose derivative is the vector function y′(t)=(y′1(t) y′2(t)) E. a linear combination of exponential functions of the form e^λjt for the eigenvalues λj of A F. a vector y whose derivative is the vector 0 G. a vector whose entries are the two eigenvalues of A
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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How many of the following are descriptions of the
A. a function y(t) whose derivative is y′(t)
B. a solution to a certain homogeneous system of linear ODEs
C. an eigenvector for A
D. a vector function y(t)=(y1(t) y2(t)) whose derivative is the vector function y′(t)=(y′1(t) y′2(t))
E. a linear combination of exponential functions of the form e^λjt for the eigenvalues λj of A
F. a vector y whose derivative is the vector 0
G. a vector whose entries are the two eigenvalues of A
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