Write in Python Language.

1. Given a "Mass-Spring-Damper" system as shown in the Figure below. The system can be described by the following equation: F(t)cx(t)kx(t)=mx(t) where t is the simulation time, F(t) is an external force applied to the system, c is the damping constant of the spring, k is the stiffness of the spring, m is a mass. x(t) is the position of the object (m). x(t) is the first derivative of the position, which equals the velocity of the object (m). x(t) is the second derivative of the position, which equals the acceleration of the object (m). Use your skills learned from the class to simulate this system. Use one of the ODE solvers in Python. You should try with different values for F,c,k and m