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Exact solution to a periodic linear ODE sought

Rather incredibly, your (corrected) system does have a closed-form solution, which I found with Maple's help. $$ x(t) = 1+4\,\cos \left( 2\,t \right) +3\,\sqrt {8\,\cos \left( 2\,t \right) + 17}$$ $y( …
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