Which of the following is the general solution for the ODE y′=y+1y' = y + 1y′=y+1?
y(x)=Cex+1y(x) = Ce^x + 1y(x)=Cex+1
y(x)=Ce−x−1y(x) = Ce^{-x} - 1y(x)=Ce−x−1
y(x)=Cexy(x) = Ce^xy(x)=Cex
y(x)=Cex−1y(x) = Ce^x - 1y(x)=Cex−1