Show that differential equation has a solution of period k

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Reference no: EM131002201

Consider

911_Fundamental Matrix.jpg , if A(t) is a fundamental matrix with A(0)= I and p(t) has period k

1) Show that det A(t)= 1 for all t then use this to show that the floquet multipliers are roots of x²-bx+1=0 when b is the trace of A(k)

2) When b=2 show that the differential equation in the above figure has a solution of period k.

Reference no: EM131002201

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