Find a solution to the initial value problem that is continuous on the interval [0, 2π] where sin(t) g(t) = { - sin(t) y(t) {{ = y' + sin(t)y = g(t), y(0) = 7, 1 if 0 ≤ t ≤ π, if π < t < 2π. if 0 ≤ t ≤ π, if π < t < 2π.

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