Question 7 0/4 pts The boundary value problem y (x) + y(x) = xy(x), y(0) =...
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Question 7 0/4 pts The boundary value problem y" (x) + y(x) = xy(x), y(0) = 2, y(3) = 1 is discretized using central differences with step h = 1 (enter integer value). Determine the values of the solution at 4 . Give the coordinate of the fictitious grid point = x=0, x= 1 and x = 2:y (0) = 0.4656 .y(1) = 0.5979 y (2) = 1.4392 Round the answer to the fourth decimal place. (Hint: You may proceed as in Q2 and Q3 of tutorial 7. Also note that by default, Matlab rounds the answer to the fourth decimal place). Now use the for loop to write a Matlab code that solves the above boundary value problem for arbitrary discretization step h. Use 1.6516 h = 0.1to determine the solution at x = 0 :y(0) = (Round the answer to the fourth decimal place). Question 7 0/4 pts The boundary value problem y" (x) + y(x) = xy(x), y(0) = 2, y(3) = 1 is discretized using central differences with step h = 1 (enter integer value). Determine the values of the solution at 4 . Give the coordinate of the fictitious grid point = x=0, x= 1 and x = 2:y (0) = 0.4656 .y(1) = 0.5979 y (2) = 1.4392 Round the answer to the fourth decimal place. (Hint: You may proceed as in Q2 and Q3 of tutorial 7. Also note that by default, Matlab rounds the answer to the fourth decimal place). Now use the for loop to write a Matlab code that solves the above boundary value problem for arbitrary discretization step h. Use 1.6516 h = 0.1to determine the solution at x = 0 :y(0) = (Round the answer to the fourth decimal place).
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