Solve the following differential equations (initial value problems) by using Laplace transform. a) y'+3y = 13sin 2r; y(0)=6 b) y"-3y'+ 2y = e*: y(O)= 1, y '(0) = 5 c) y"-2y'=1; y(0) = 1, y '(O) = 2 FORMULA: L{v} =Y(s) L{y'(t)} = SY(s) – y(0) L{y"(t)} = sºY(s) – sy(0)- y (0) where y(0) is the initial value of y() when t = 0.