The following differential equation models the position () of an object that is attached to a spring with respect to time (). The mass-spring system operates under the influence of both damping and external forces. 2 2 ( ) ( ) = () Consider a damping coefficient = 1, a mass = 0.5, a spring constant = 1, and an external force function () = 4 cos() 2 sin(). Also, consider that the initial position of the mass-spring system is given by the initial condition (0) = 0, and that the initial velocity of the mass-spring system is given by the initial condition (0) = 15. 1a. Using Euler's method, estimate the position () of the object at = 0.75. Use a step size = 0.25