Find a solution to the initial value problem y' + sin(t)y = g(t), y(0) = 5, that is continuous on the interval [0, 2π] where y(t) = g(t) = { sin(t) - sin(t) if 0 tπ, if π <t<2π. at You can earn nantial dit on this problem if 0 ≤t≤π, if π <t≤2π.