Solve y′+2xy=0y' + 2xy = 0y′+2xy=0.
y=Ce−x2y = C e^{-x^2}y=Ce−x2
y=Cex2y = C e^{x^2}y=Cex2
y=x2+Cy = x^2 + Cy=x2+C
y=1/xy = 1/xy=1/x