Chapter 9.2, Problem 26E

(a) Program your computer algebra system, using Euler’s method with step size 0.01, to calculate $y\left(2\right)$, where y is the solution of the initial-value problem

$y^{\prime }=x^3-y^{3}y\left(0\right)=1$

(b) Check your work by using the CAS to draw the solution curve.