A process is modeled by the following ODE:

$\frac{dy}{dt}=\frac{y^2-1+u}{e^{-u}(y-1)}$

where $y(t)$ is the output and $u(t)$ is the input. At the steady state $\frac{u(barred)}{\text{b}\text{a}\text{r}}(u)=0,$ what is the

linearized model?