(b) Given the second order boundary value problem y" +4y= sinx, y(0) = 0, y(1) = 0. By taking h=0.25, approximate y(0.25

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B Given The Second Order Boundary Value Problem Y 4y Sinx Y 0 0 Y 1 0 By Taking H 0 25 Approximate Y 0 25 1 (25.87 KiB) Viewed 36 times

(b) Given the second order boundary value problem y" +4y= sinx, y(0) = 0, y(1) = 0. 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. (10 marks) (i) sin (1) 3 sin (2) (ii) If the exact solution of the problem is y(x)=-- the absolute errors of your calculations. -sin 2x+-sinx, find (2 marks)