Section 2.7 Euler Method: Problem 2 Previous Problem List Next (1 point) Consider the differential equation =2z, with initial condition y(0) = 1. A. Use Euler's method with two steps to estimate y when z = 1 y(1) (Be sure not to round your calculations at each step!) Now use four steps: y(1) (Be sure not to round your calculations at each step!) B. What is the solution to this differential equation (with the given initial condition)? y= C. What is the magnitude of the error in the two Euler approximations you found? Magnitude of error in Euler with 2 steps = Magnitude of error in Euler with 4 steps = D. By what factor should the error in these approximations change (that is, the error with two steps should be what number times the error with four)? factor= (How close to this is the result you obtained above?)