Repeat Short Problem 3.36 for the differential equation 

\[ 2 \ddot{x}+600 \dot{x}+9800 x=0 \]

subject to \(x(0)=0.001 \mathrm{~m}\) and \(\dot{x}(0)=3 \mathrm{~m} / \mathrm{s}\).

Data From Short Problem 3.36:
The free vibrations of a system are governed by the differential equation 

\[ 2 \ddot{x}+40 \dot{x}+1800 x=0 \]

with initial conditions \(x(0)=0.001 \mathrm{~m}\) and \(\dot{x}(0)=3 \mathrm{~m} / \mathrm{s}\).