- Q4 A B Consider The First Order Initial Value Problem Dy 2x E Dx Approximate The Solution Of The Problem At X 1 (51.55 KiB) Viewed 33 times
Q4 (a) (b) Consider the first order initial value problem dy = 2x+e™¹, dx Approximate the solution of the problem at x = 0.05, 0.1 and 0.15 using (i) (ii) Euler's method. (i) y (0)=1. Fourth order Runge-Kutta method. (ii) (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, y(0) = 0, (6 marks) 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) If the exact solution of the problem is y(x) = the absolute errors of your calculations. sin (1) sin 2x + 3 sin (2) -sin 2x+-sinx, find 3 (2 marks)