Problem One: (Based on Chapra. Problem 1.17. Page 22 According to Newton's law of cooling, the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature), .019 min. 1 is the where T.= the-temperature of the body (C), t time(min), k proportionality constant, and T 20 Cis the ambient temperature. The analytical solution of the ordinary differential equation (ODE) is: T(t) = Ta + (To-Ta)e-kt The Euler's numerical method for solving the ODE assumes that the first derivative is approximated using the finite difference equation: dt At cup of coffee originally has a temperature of(70CSolve the following Suppose that a questions using MATLAB script (statements in the Command Wind Euler's method to compute the temperature from t = 0 to 20 min using a step a) Use size of 5 min. ults obtained in parts (a) together with the true solution given above. Include axis titles, plot title, gridlines and legend