0 Question 1 Use undetermined coefficients to find the particular solution to y\" y' 23; = 4sin(3t) m =: Add Work Submit Question 0 Question 2 The general solution to this ODE: y\" + 69' + 9:9 = (333 11103) W) = :] Use (:1 and oz for any undetermined constants. is: Add Work Submit Question Question 3 All of these ODEs model a system with a spring, mass and dashpot. Classify the solution for the differential equation: 2y"' - ly' - 4y = 0 O under-damped O critically damped O over-damped Classify the solution for the differential equation: - 3y"' + 6y' - 2y =0 O critically damped O under-damped O over-damped Classify the solution for the differential equation: - 4y"' + 5y' + ly = 0 O critically damped O over-damped O under-damped0 Question 4 a 0/2 pts '0 6 8 2 G Details An object weighing 24 lbs stretches a spring 5 inches. The object is in a medium that exerts a viscous resistance of A lbs when the object has a velocity of 2 ft/ sec. This object-spring system will be overdamped if: Add Work Submit Question 0 Question 5 l3 0/2 pts '0 6 Z 2 (9 Details Not every interpretation of direction is that "positive is down". In this problem, assume that if initial position is above equilibrium, then it is positive, and if it is below equilibrium it is negative. This assumption will have implications on the initial velocity as well. A 9 kilogram mass is attached to a spring whose constant is 6.5025 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 15.3 times the instantaneous velocity. Determine the equation of motion if the mass is initially released with an upward velocity of 1 ml sec from 8 meters above equilibrium