(b) Given the second order boundary value problem y" +4y= sinx, y(0) = 0, y(1) = 0. (i) By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite difference method. Please give your answer in three decimal places. (ii) If the exact solution of the problem is y(x)=- the absolute errors of your calculations. sin (1) 3 sin (2) 1 -sin 2x+-sinx, find 3

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Q: N2

A: We use Quadratic Spline.

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A: Given that (a)          w1 = x1 − 4x2 + 8x3          w2 =−x1 + 4x2 + 2x3          w3 =−3x1 + 2x2 −…

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