points) Somewhere in this problem it might be useful to know that v2 ~ 1.41..... nsider the initial value problem dy d.x - y(0) = 1. Use Euler's method with 2 steps to approximate y(1) (in this case your step size would be Axc = 0.5). in the blank. You may use the table given below. Then write the approximate value of y(1) which you obtain 0 10.5 y(1) = dy Now use the method of separation of variables to solve the initial value problem exactly. Give a formula for y in terms of x. y dy = xdx ( Ydy = [ x dy 2 2 = 2 2x 2 y = TX c) How close was your estimate of y(1) obtained by Euler's method to the true value of y(1)? What could you change in Euler's method to get a better approximation? Really close. I could change in Euler'sme that to get a better approximation by wing more stepsize whiching ler DX forexample: D X = 0.2, 10