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Consider the system of equations @ = A(t)y + F(t), where y : R - R2, A is a matrix with entries depending on t,
Consider the system of equations @ = A(t)y + F(t), where y : R - R2, A is a matrix with entries depending on t, and F is a vector with entries depending on t (assume both are smooth). Assume that the functions 1 sin t are solutions to this system. Find the general solution. Describe the behavior of solutions as t -> o
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