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Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2 4 1 b) О x()- 1 -2t e 2 1 2 e 3 1 21 c) O x(1)= 2 2 5 2 -2t 4 d) O x(t)= e e 2 -2 4 21 e) O x(1)= e' 5 -3 f) O None of the above.

Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2 4 1 b) О x()- 1 -2t e 2 1 2 e 3 1 21 c) O x(1)= 2 2 5 2 -2t 4 d) O x(t)= e e 2 -2 4 21 e) O x(1)= e' 5 -3 f) O 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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Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2 4 5 -2t 1 ) x(t)= 1 b) 2 2 1 21 1 c) x(t)= e 3 2 5 2 -2t 4 d) O x(1)= e e 2 -2 4 21 e) x(t)= e' 5 -3 f) None of the above.
Transcribed Image Text:Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2 4 5 -2t 1 ) x(t)= 1 b) 2 2 1 21 1 c) x(t)= e 3 2 5 2 -2t 4 d) O x(1)= e e 2 -2 4 21 e) x(t)= e' 5 -3 f) None of the above.
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