In the IVP y′=2x,y(0)=0y' = 2x, y(0)=0y′=2x,y(0)=0, the solution is:
y=x2y = x^2y=x2
y=x2+1y = x^2 + 1y=x2+1
y=2xy = 2xy=2x
y=0y = 0y=0