Problem 5 The attached matlab code is dedicated to the numerical computation to a differential equa- tion defined on the interval [0, 1]: 1) Assuming that f and f" are defined in two matlab files f.n, fprise.n, determine precisely the algorithm/sequence nJao, which is defined in the code. 2) Determine (with justification) the expected value for I clear al epsilon-le-10 TE-1; N-101 -TE/ (N-1) yo-ii yold-yo for n-1: (N-1) update-1 yk-yhalr while (abs (update) > epsilon) update (yk - yold -h (f (yold)+2.f (yhalf)+ (yk))/4)/-h.tprime (yk)/4): yk -yk- update end ynew-yk yhalf-ynew+h.f (ynew)/2 yold-ynew; Y=(Y ynew ]; end Ih-ynew-yo-h sum (f (Y))