Solve y′=2xyy' = 2xyy′=2xy with y(0)=1y(0) = 1y(0)=1.
y=ex2y = e^{x^2}y=ex2
y=x2y = x^2y=x2
y=2x2+1y = 2x^2 + 1y=2x2+1
y=e−x2y = e^{-x^2}y=e−x2