Question: Write a MATLAB program that uses finite difference to solve on x [0, 1] subject to y(0) = 1 and y(1) = 0 and

Write a MATLAB program that uses finite difference to solve dy dx = xy

on x ∈ [0, 1] subject to y(0) = 1 and y′(1) = 0 and dx2 = Sp

on x ∈ [0, 1] subject to y(0) = 1 and y′(1) = 0. Use the solution to the linear problem, y″ = x3y as the initial guess. Your program should plot the solutions to both the linear and the nonlinear problems on the same graph.

dy dx = xy

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