Can someone help me code this in either Matlab or Python!!!!!!!!!!! (Programming

Question

Can someone help me code this in either Matlab or Python!!!!!!!!!!!

(Programming) Consider the initial value problem {x'(t) = 1 + x/t, 1 lessthanorequalto t lessthanorequalto 2, x(1) = 2 The exact solution to this programming is x(t) = t log(t) + 2t. (a). Write a code for the classical Fourth-order Runge-Kutta method and use it to solve the problem using h = 0.2, 0.1, 0.05, 0.025. Your output should be a table like the following where e_h = max_0 lessthanorequalto kappa lessthanorequalto n | x(t_kappa) - x_ kappa | and n = 1/h. (b). Repeat the same process as in (a) using the third-order Runge-Kutta method which is derived in Problem 1.

Explanation / Answer

a)

plot(h,eh);

b)

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