Question: Use the Nonlinear Finite-Difference method with h = 0.5 to approximate the solution to the boundary-value problem Y = (y')2 y + ln x,

Use the Nonlinear Finite-Difference method with h = 0.5 to approximate the solution to the boundary-value problem
Y" = −(y')2 − y + ln x, 1≤ x ≤ 2, y(1) = 0, y(2) = ln 2.
Compare your results to the actual solution y = ln x.

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