A programmable calculator or a computer will be useful for Problems through. In each probl...

A programmable calculator or a computer will be useful for Problems through. In each problem find the exact so-lution of the given initial value problem. Then apply Euler's method twice to approximate (to four decimal places) this solution on the given interval first with step size h = 0.01, then with step size h = 0.005. 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.