Given the following spring mass damper system

$($a$)$With $m=10kg,C=300k\frac{g}{s},$ and $k=1000\frac{N}{m},$ determine the displacement $x(t)$ of the mass for the initial conditions given by: $x(0)=10mm,$ and $v(0)=0$

$($b$)$Determine the displacement $x(t)$ of the mass with the previous damper replaced by one with $C=3k\frac{g}{s},$ using the same initial conditions. $($The mass and stiffness for the stay the same.$)$