As a water tank loses heat, the temperature drops by 2 K/min when a heater is

As a water tank loses heat, the temperature drops by 2 K/min
when a heater is on, the system gains temperature at 4
K/min. A two-position controller has a 0.5 min control lag
and a neutral zone of ± 4% of the setpoint about a setpoint
of 323 K. Plot the heater temperature versus time. Find the
oscillation period

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