What is the general solution to the differential equation y′=−yy' = -yy′=−y?
y=C+e−xy = C + e^{-x}y=C+e−x
y=Ce−xy = Ce^{-x}y=Ce−x
y=Cexy = Ce^xy=Cex
y=−x+Cy = -x + Cy=−x+C