Must be done in MATLAB

Problem 9: 10 points Write a function to solve a second order differential equation using the Euler Method. (4 Points) Use the function to solve the differential equation: y"(t) + y(t) = 0 where y(0) = 1 and y(0) = 0. (2 Points) Plot (i) y(t) v/s t, (ii) y'(t) v/s t, and (iii) y'(t) v/s y(t) on three separate subplots. Label figures properly. (3 Points) Is this the solution that you expected? Why or why not? Explain. (1 Point) EXTRA CREDIT) Use Matlab/Python built-in function to solve the differential equation. Plot the solution on the same graph. Discuss your observations. Plot the error between the two solutions as a function of time. (5 Points) Problem 9: 10 points Write a function to solve a second order differential equation using the Euler Method. (4 Points) Use the function to solve the differential equation: y"(t) + y(t) = 0 where y(0) = 1 and y(0) = 0. (2 Points) Plot (i) y(t) v/s t, (ii) y'(t) v/s t, and (iii) y'(t) v/s y(t) on three separate subplots. Label figures properly. (3 Points) Is this the solution that you expected? Why or why not? Explain. (1 Point) EXTRA CREDIT) Use Matlab/Python built-in function to solve the differential equation. Plot the solution on the same graph. Discuss your observations. Plot the error between the two solutions as a function of time. (5 Points)