Solving Differential Equations: Use Laplace transforms to solve the following differ- ential equations
a) y-2y = u(t), y(0) = 0
b) y-2y = u(t), y(0) = 1
c) y +10y-Asin(2)u(t), y(0)=1
d) y+10y = 8e^-10' u(t), y(0) =0
e) 60+8y = u(t), y(0) = 0, 3(0) = 1
f) 6ú + 9y = sin(2t)u(t), y(0) = 0, 0) = 0