What is the solution to y′=yy' = yy′=y with y(0)=Cy(0)=Cy(0)=C?
y=Cexy = Ce^xy=Cex
y=C+exy = C+e^xy=C+ex
y=eCxy = e^{Cx}y=eCx
y=x+Cy = x+Cy=x+C