Please help me with this problem. Show complete and explicit solution

Consider the first-order differential equation dy dar = f(x), where f(x) is a function of z. The approximate solution as given by the Euler algorithm is (1) Yn+1 = Yn + f(n)Ar. (2) Note that the rate of change of y has been approximated by its value at the beginning of hte interval f(In). 1. Suppose that f(x) = 2.r and y(it = 0) = 0. The analytical solution is y(x) = x, which we can confirm by taking the derivative of y(x). Convert equation (1) into a finite difference equation using the Euler algorithm. For simplicity, choose Ac = 0.1. It would be a good idea to first use a calculator or pencil and paper to determine yn for the first several time steps. 2. Sketch the difference between the exact solution and the approximate solution given by the Euler algorithm,. What condition would be the rate of change f(x) have to satisfy for the Euler algorithm to give the exact answer? Consider the first-order differential equation dy dar = f(x), where f(x) is a function of z. The approximate solution as given by the Euler algorithm is (1) Yn+1 = Yn + f(n)Ar. (2) Note that the rate of change of y has been approximated by its value at the beginning of hte interval f(In). 1. Suppose that f(x) = 2.r and y(it = 0) = 0. The analytical solution is y(x) = x, which we can confirm by taking the derivative of y(x). Convert equation (1) into a finite difference equation using the Euler algorithm. For simplicity, choose Ac = 0.1. It would be a good idea to first use a calculator or pencil and paper to determine yn for the first several time steps. 2. Sketch the difference between the exact solution and the approximate solution given by the Euler algorithm,. What condition would be the rate of change f(x) have to satisfy for the Euler algorithm to give the exact