Find the Trapezium rule approximation of the integral with n=2 and compare with the exact value. Does this result contradict your part (a) answer?
The initial-value problem is given by dy/dx=x+sqrt(y) , y(0) = 1.
Use Runge-Kutta's method with step size h = 0.1 to find the value of y(0.1) correct to 3
This problem illustrates the use of Trapezium rule to evaluate a definite integral and estimating the error in using trapezium rule. It is then compared with the Runge-Kutta Method