Differential Equations. A 10kg weight is attached to a wallhorizontally via a spring. The rest (equilibrium) length of thespring is 0.2m. The spring has stiffness coefficient k = 50. Theweight drags along the ground, giving an effective dampingcoefficient of b = 40. We will ignore gravity and all other outsideforces on the spring. If the weight is pulled to a position 0.5maway from the wall (thus +0.3m past equilibrium) and then flickedtoward the wall at 2m/s. How close is the weight to the wall after1 second? Bonus question: What is the closest the weight gets tothe wall? Must use differential equations formula not physics