Solve y′=y2y' = y^2y′=y2 with y(0)=1y(0) = 1y(0)=1.
y=11−xy = \frac{1}{1-x}y=1−x1
y=11+xy = \frac{1}{1+x}y=1+x1
y=exy = e^xy=ex
y=1x−1y = \frac{1}{x-1}y=x−11