Given the differential equation $(ytan{)}^2\frac{dy}{dt}=(gy{)}^{\frac{1}{2}},$ and $g$ are constants $($liquid flow from a container$),$ answer the following questions.

a$)$ Is it an ODE or PDE?

b$)$ What is the order?

c$)$ What is the dependent variable$($s$)?$

d$)$ What is the independent variable$($s$)?$

e$)$ Is it linear or nonlinear?