$x^3{y}^{\text{'}}+x^{2}y=6x^2,x>0,y(-1)=3$

$($a$)$ Write the ODE as a Linear Equation $.)$

$($b$)$ Find the integrating factor for the differential equation.

$($c$)$ Find the general solution of the given differential equation.

$($d$)$ Find the solution of the IVP.