USE MATLAB PLEASE

Solve the ODE using the following methods: Fourth-order Taylor, Euler, and Heun. (a) Take h = 0.1 and take 20 steps using the program. Then take h = 0.05 and take 40 steps. (b) Compare the solution with the exact solution and (2) with the two approximations obtained in the clause A). (c) Does the final global error of the approximations obtained in part (a) behave as expected when his divided by two? (d) Draw the approximations and the exact solution on the same graph a) y'(t) = ty2 t3, with y(0) = 1, y(t) = 3 et? /2 3 + 9 b) y'(t) = +2 /y3, c) y'(t) = 16 t3 y, with y(0) = 1, obtain the exact solution Solve the ODE using the following methods: Fourth-order Taylor, Euler, and Heun. (a) Take h = 0.1 and take 20 steps using the program. Then take h = 0.05 and take 40 steps. (b) Compare the solution with the exact solution and (2) with the two approximations obtained in the clause A). (c) Does the final global error of the approximations obtained in part (a) behave as expected when his divided by two? (d) Draw the approximations and the exact solution on the same graph a) y'(t) = ty2 t3, with y(0) = 1, y(t) = 3 et? /2 3 + 9 b) y'(t) = +2 /y3, c) y'(t) = 16 t3 y, with y(0) = 1, obtain the exact solution