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y''(t) + 3y'(t) + 2y(t) = 0 if t < π 10 , sin(t) if t...

y''(t) + 3y'(t) + 2y(t) = 0 if t < π 10 , sin(t) if t ≥ π , subject to y(0) = 5, y'(0) = 2

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