Applying the finite-difference method, use MATLAB to solve the boundary-value problem y'' = 2y' - x; y(0)=1, y(5)=-1, and plot your numerical solution.
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Step 1
Let's choose \(N+1\) points, which means we have \(N-1\) internal points and 2 boundary points. The step size \(h\) is given by \(h = \frac{5-0}{N}\). Let \(x_i = i \cdot h\) for \(i = 0, 1, \ldots, N\), where \(x_0 = 0\) and \(x_N = 5\). Show more…
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