m Problem 5: The motion of a damped spring-mass system is described by the following second order differential equation: dax dx ++ kx = 0 dt2 dt Where x is the displacement from equilibrium position (m),t=time (s), m=20 kg the mass and c = 5 (the damping coefficient) and k = 20 N/m (the spring constant). The initial velocity (The displacement derivative to time) x'(O) = 0. And the initial displacement x(0) = 1. Use the First Order Runge Kutta Method (Euler's Method) to find the displacement x at t = 15 using a step size of 5