Need help with Euler's method

Question

Use Euler's method with step size 0.5 to compute the approximate y=values y₁,y₂,y_3, and y₄ of the solution of the initial-value problem y'=y-2x, y(1)=0

Answer 1

Euler's Method is y_n+1 = y_n + hy_n' = y_n + hf(x_n,y_n) where y' = f(x,y)

1st step y₁ = 0 + .5(0 + 2(1)) = 1 starting a y₀=0 and x₀=1

2nd step y₂ 1 + .5(1 + 2(1.5)) = 3

and so on.