Solve each initial-value problem. y+2y+5y= g(t); y - y' - 6y= y(0)=1, y'(0) = 2 (t, if t <2 1, if t>2 y(0) =

Solve each initial-value problem. y"+2y+5y= g(t); y" - y' - 6y= y(0)=1, y'(0) = 2 (t, if t 2 y(0) = 0, '(0) = 0