A programmable calculator or a computer will be usefitl for Problems through. In each prob...

A programmable calculator or a computer will be usefitl for Problems through. In each problem find the exact solu-tion of the given initial value problem. Then apply the Runge- Kutta method twice to approximate (to five decimal places) this solution on the given inteival, first with step size h = 0.2, then with step size h = 0.1. Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximation, for x an integral multiple of 0.2. Throughout, primes denote derivatives with respect to x.