Consider the differential equation
with initial condition .

A. Use Euler's method with two steps to estimate y when x=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 =