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Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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1. For a third-order homogeneous differential equation the general solution is given by Yg (t) = c1f (t) + c2g (t) + czh (t) . Which of the following statement (s) is/are correct? f (t) I: g (t) II: The functions f, g, and h may have maximum at same point to +h (t) may be a constant III : Wronskian of the functions f, g, and h is nonzero A) I and III B) II and III C) only III D) only II E)I and II
Transcribed Image Text:1. For a third-order homogeneous differential equation the general solution is given by Yg (t) = c1f (t) + c2g (t) + czh (t) . Which of the following statement (s) is/are correct? f (t) I: g (t) II: The functions f, g, and h may have maximum at same point to +h (t) may be a constant III : Wronskian of the functions f, g, and h is nonzero A) I and III B) II and III C) only III D) only II E)I and II
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