(Solved): Consider the value problem my"+y+ky - Fle. (0)-0, v (0) 0 modeling the motion of a spring-mas-cashp ...

Consider the value problem my"+y+ky - Fle. (0)-0, v (0) 0 modeling the motion of a spring-mas-cashpot system inity at rest and subjected to an applied force F(t), where the unit of forces the Newton (N. Assume that m - 2 kilograms, elograms per second, 80 Newtons per meter and the applied force in Newton (30 if OSIS/2 FC) > */2 Solve the initial value problem, using that the displacement (t) and velocity v') remain continuous when the applied forces continuous bep formu S/2 ) Fortw/2. (i) - herm D. Determine the long-term behavior of the system is lim (0) -02 is, enter zero if not enter a function that approxima ve) for very large positive value of t. help om For very large positive values of t. (d) Q OD