Find the solution of the given initial value problem. y" + 2y' + 2y = cost + ô 8(1 -); y(0) = 4, y (0) = 6 47 + sint 5 y(t) = – ug/2(t)ezcost + cost 5 19 2 + + 19 47 x) = Ha2(We "sint + sin (+) + cos:( +) 5 5 5 5 y(t) = - ug/2(t)ecost + cost( 4e- + + sint( 10e- + 5 5 47 + sint 5 19 Un/2(t)e¬sint + cost 5 2 + 5 y(t) = + 19 y(t) = ug/2 (t)e¬'cost + cost 47 + sint 5 + 5

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