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Let X be the matrix function cos( 2 1) sin (2t) sin (21) -cos( 21) X (t) = Determine if X is a fundamental matrix for system x'= Ax with -2 A= 2 If so, find the solution of the system that satisfies 4 x(0) = cos( 2t) =4 sin (21) sin (21) - cos( 21) cos( 2 1) sin (2t) || b) О sin(2t) + -cos( 2t) Not a fundamental solution set. cos( 21) sin (2t) +4 d) sin (2t) -cos( 2 t) cos( 2t) + 2 sin(2t) sin (2t) - cos( 2 t) e) О

Let X be the matrix function cos( 2 1) sin (2t) sin (21) -cos( 21) X (t) = Determine if X is a fundamental matrix for system x'= Ax with -2 A= 2 If so, find the solution of the system that satisfies 4 x(0) = cos( 2t) =4 sin (21) sin (21) - cos( 21) cos( 2 1) sin (2t) || b) О sin(2t) + -cos( 2t) Not a fundamental solution set. cos( 21) sin (2t) +4 d) sin (2t) -cos( 2 t) cos( 2t) + 2 sin(2t) sin (2t) - cos( 2 t) e) О

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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Let X be the matrix function cos( 2 1) sin (2t) sin (2t) -cos( 2 t) X (t) = Determine if X is a fundamental matrix for system x'= Ax with 0 -2 A= 2 If so, find the solution of the system that satisfies 4 x(0) = cos( 2 t) =4 sin (21) sin(2t) -cos( 2t) cos( 21) sin (2t) sin(2t) + b) О -cos( 21) Not a fundamental solution set. sin (2t) +4 cos( 2t) d) sin(2t) -cos( 2t) cos( 2 t) sin(2t) + 2 sin (2t) - cos( 2 t)
Transcribed Image Text:Let X be the matrix function cos( 2 1) sin (2t) sin (2t) -cos( 2 t) X (t) = Determine if X is a fundamental matrix for system x'= Ax with 0 -2 A= 2 If so, find the solution of the system that satisfies 4 x(0) = cos( 2 t) =4 sin (21) sin(2t) -cos( 2t) cos( 21) sin (2t) sin(2t) + b) О -cos( 21) Not a fundamental solution set. sin (2t) +4 cos( 2t) d) sin(2t) -cos( 2t) cos( 2 t) sin(2t) + 2 sin (2t) - cos( 2 t)
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