The model of a suspension from a rover, including gravity is:  my'' + cy' + ky = −gm
m is the mass of the rover, c is the daming coefficient of thesuspension, k is the spring constant, g is the gravity on theEarth. The gravity on the Mars is 1/3 on the Earth. This suspensionis at critical damping. The initialdisplacement when the rover landed is -1m and velocity is-10m/s.
a) solve this ODE using trial solution.
b)calculate the displacement that rover after it comes to a stopif it landed on Earth
c) what about landed on Mars.
