Answer Happy

(1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dy x (0.2) = 9. dx y Let f(x,y) = xfly. We lot xo = 0.2 and yo = 9 and pick a step size h = 0.2. Euler's method is the the following algorithm. From x, and your approximations to the solution of the differential equation at the nth stage, we find the next stage by computing Xn+1 = x + h. You= y +h. f(x). Complete the following table. Your answers should be accurate to at least seven decimal places. X ya 0.2 0 9 1 0.4 20.6 3 0.8 4 1.0 5 1.2 The exact solution can also be found using separation of variables. It is (x) = Thus the actual value of the function at the point x = 1.2 y(1.2) =