$(14$ pts$)$ Consider the differential equation $y^{\text{'}\text{'}}-(3+1)y^{\text{'}}+(2{}^2+3-2)y=0$

$($a$)$ Find the general solution of the differential equation.

$($b$)$ Determine the condition for $$ for which all solutions approach zero as $t.$

$6.(12pts)$ Solve the initial value problem: $y^{\text{'}\text{'}}+2y^{\text{'}}+2y=0,y(0)=1,y^{\text{'}}(0)=0.$