Question $2.(25$ points$)$

The hydraulic system shown consists of $4$ tanks.

initially all tanks are kept empty. Water flows into

Tank $(1)$ at a rate of $Q_i.$

At $t=0,$ all valves to all tanks connecting to each

other is opened and water flows from tank $1$ to

subsequent tanks as shown in the figure. Assuming

that the valve resistance for all tanks are the same

and is equal to

Please write in standard form