You're working as an engineer tasked with analyzing the performance of a car's suspension

system. The suspension is modeled as a damped oscillator, and the behavior of the shock

absorber is crucial to ensure a smooth ride. The motion of the suspension is described by the

following second$-$order differential equation:

$3x^{}+4x^{}+5x=0$

Given that the initial position $x(0)=2$ and initial velocity $x^{}(0)=1.$ determine how the

suspension behaves over time. Will the system return smoothly to equilibrium, or will there be

any surprises along the way?