While solving an equation with Euler method the following re

While solving an equation with Euler method, the following results are obtained with various step sizes: where y(x*,h) denotes tie the value of the numerical solution at x*. Compute a better solution.

Solution

While solving the equations by using numerical methods, exact value depending on the step size, if step size is very less then that gives exact value where compare to the other values whose step size is large. In this problem h values are 0.05 , 0.1 and 0.2. Small value is 0.05

Better value is 1.22726