Answer Happy

Consider the differential equation with initial condition y(0) = 3. 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 = dy da = 6x, 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?)