3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1-, cost sin t A(t) = 3 -1-sint cos t -1+,sin? t (a) Find eigenvalues of A(t) cos (b) Verify that the function $(t) = (sin) et/2 is a solution of the equation %3D (c) Compute the multipliers and characteristic exponents of the system (d) Does the system have a periodic solution?
3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1-, cost sin t A(t) = 3 -1-sint cos t -1+,sin? t (a) Find eigenvalues of A(t) cos (b) Verify that the function $(t) = (sin) et/2 is a solution of the equation %3D (c) Compute the multipliers and characteristic exponents of the system (d) Does the system have a periodic solution?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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