Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0.

Question

Repeat part a with step size .1

Answer 1

Please check problem statement for typos.
could it be y = x + x^2 ?
and initial condition is x=0 and y = 0 ????

Answer 2

since Euler's method is used for differential equations, do you mean

y' = x+y^2
y(0) = 0

?