Find the general solution of y′+2y=e−xy' + 2y = e^{-x}y′+2y=e−x.
y=e−x+Ce−2xy = e^{-x} + Ce^{-2x}y=e−x+Ce−2x
y=e−x+Cexy = e^{-x} + Ce^xy=e−x+Cex
y=ex+Ce−2xy = e^x + Ce^{-2x}y=ex+Ce−2x
y=e−2x+Ce−xy = e^{-2x} + Ce^{-x}y=e−2x+Ce−x