The resistance of the valve on the outlet flow of a liquid tank is 1/10 mt/mt3/min. The time constant is 60 seconds. Initially, the liquid tank operates stably at an inlet flow rate of 1m3/second. The inlet flow is suddenly increased to a flow rate of 10 m3/sec at t=0 and after being operated at this flow rate for 5 seconds, it is returned to the old flow rate of 1m3/sec. Derive the expression H(t) which gives the dynamic response of the tank level under these conditions.