I am stuck on the below question.
I have so far:
dq/dt = 48e^(-t)
1. The inflow to a small reservoir during a storm may be described by the equation, Q = 48.5 (1-e^(-kt))
Where Q = flow in m^(3)s^(-1)
k = runoff rate = 1.0 per hour
t = time in hours
The outflow through the dam gates is held constant at 40.5 m3s-1. The initial volume of the reservoir is 100 x 103 m3. Write down the differential equation describing the rate of change in reservoir volume with time.