Answer Happy

(1 point) Euler's method for a first order IVP y' = f(x, y), y(xo) = yo is the the following algorithm. From (xo, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In this exercise we consider the IVP y' = sin(y) with y(-0.3) = 2. Use Euler's method with h = 0.1 to approximate the solution of the differential equation. Apply Euler's method to complete the following table: In the two rows enter the values of an and yn. For this exercise the explicit solution is extremely complicated and we will not consider the error. n = 0 n -0.3 Yn xn = xn-1+h, Yn=Yn-1 +h. f(xn-1, Yn-1). 2 1 2 3 4