Solve the separable equation y′=xyy' = x yy′=xy.
y=Cex2/2y = C e^{x^2/2}y=Cex2/2
y=x2/2+Cy = x^2/2 + Cy=x2/2+C
y=Cexy = C e^xy=Cex
y=ex2y = e^{x^2}y=ex2