Consider the process below which is a two tanks Connected by $Pe$

$A_1=A_2=5m^2$

Initially the tanks are empty, if water is suddenly oppened to tank one at a rate of $\frac{m^3}{m}in,$ calculate:$-$

$(1)$ The height in tank one and tank two as a function of time

$(2)$ what is the steady state leveles in both tanks $(t)$

$(3)$ Do you expect the tanks to over flow? $($weglect friction in pipe$)$