Solve y′=x2y' = x^2y′=x2 with y(0)=0y(0) = 0y(0)=0.
y=13x3y = \frac{1}{3}x^3y=31x3
y=x3y = x^3y=x3
y=12x3y = \frac{1}{2}x^3y=21x3
y=3x3y = 3x^3y=3x3