fi(t) 91(t) ) and y2(t) = 92(t) Consider the vector functions y1 (t) Mark all of the following which must be true if y = c1y1 + C2Y2 is a general solution to the system of linear equations X' = AX, where A is a matrix. OA. The system is nonhomogeneous. OB. The system consists of two equations with two unknown functions. OC. y1, Y2 are linearly independent. OD. y1, Y2 are linearly dependent. O E. Y1, Y2 are solutions to the system of differential equation. OF. y1, Y2 are linear combinations. O G. None of the above
fi(t) 91(t) ) and y2(t) = 92(t) Consider the vector functions y1 (t) Mark all of the following which must be true if y = c1y1 + C2Y2 is a general solution to the system of linear equations X' = AX, where A is a matrix. OA. The system is nonhomogeneous. OB. The system consists of two equations with two unknown functions. OC. y1, Y2 are linearly independent. OD. y1, Y2 are linearly dependent. O E. Y1, Y2 are solutions to the system of differential equation. OF. y1, Y2 are linear combinations. O G. None of the above
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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