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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

Advanced Engineering Mathematics
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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f2(t) 92(t) solution to the system of linear equations X' = AX, where A is a matrix. fi(t) Consider the vector functions y1 (t) and y2(t) Mark all of the following which must be true if y = c141 + C2Y2 is a general 91(t O A. The system is nonhomogeneous. B. The system consists of two equations with two unknown functions. OC. y1, Y2 are linearly independent. D. y1, Y2 are linearly dependent. O E. y1, Y2 are solutions to the system of differential equation. OF. y1, 42 are linear combinations. OG. None of the above
Transcribed Image Text:f2(t) 92(t) solution to the system of linear equations X' = AX, where A is a matrix. fi(t) Consider the vector functions y1 (t) and y2(t) Mark all of the following which must be true if y = c141 + C2Y2 is a general 91(t O A. The system is nonhomogeneous. B. The system consists of two equations with two unknown functions. OC. y1, Y2 are linearly independent. D. y1, Y2 are linearly dependent. O E. y1, Y2 are solutions to the system of differential equation. OF. y1, 42 are linear combinations. OG. None of the above
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