2t is a solution to y"- y' +y=e4, use the superposition principle to find solutions to the differential equations in parts (a) through (c) below. Given that y (t) = cos tis a solution to y'"- y'+y = sint and y2 (t) 3 (a) y'" - y' +y= 15 sin t A solution is y(t) -! (b) y"-y' +y=5 sint-6 e 2 A solution is y(t) = (c) y" - y' y-6 sint+ 21 e 21 A solution is y(1) =

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