For the Bernoulli equation y′+y=y2exy' + y = y^2 e^xy′+y=y2ex, what is the linearized equation after v=y−1v = y^{-1}v=y−1?
v′−v=−exv' - v = -e^xv′−v=−ex
v′+v=−exv' + v = -e^xv′+v=−ex
v′−v=exv' - v = e^xv′−v=ex
v′+v=exv' + v = e^xv′+v=ex