CONFIDENTIAL Q4 (a) (b) Consider the first order initial value problem (i) BNJ12303 ENQ10603/ ENP12303 BNT 12303/BNR1790

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Confidential Q4 A B Consider The First Order Initial Value Problem I Bnj12303 Enq10603 Enp12303 Bnt 12303 Bnr1790 1 (50.57 KiB) Viewed 33 times

CONFIDENTIAL Q4 (a) (b) Consider the first order initial value problem (i) BNJ12303 ENQ10603/ ENP12303 BNT 12303/BNR17903 dy dx Approximate the solution of the problem at x = 0.05, 0.1 and 0.15 using (1) (ii) = 2x+e", Euler's method. Fourth order Runge-Kutta method. x(0)=1. (7 marks) Please use a suitable value of stepsize. h and give your answer in three decimal places. Given the second order boundary value problem y+4y=sinx, >(0)=0, 4 By taking h=0.25, approximate (0.25), (0.5) and (0.75) by finite difference method. Please give your answer in three decimal places. (10 marks) If the exact solution of the problem is y(x)--- the absolute errors of your calculations. - END OF QUESTIONS - (1)=0. (6 marks) sin (1) 3sin(2) -sin 2x+-sinx +-sinx, find 3 (2 marks) CONFIDENTIAL