Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the volume of water remaining. the tank initially contains 175 liters and 23 liters leak out during the first day.
I would just like to know what is the differential equation I need to setup. Thanks
I would just like to know what is the differential equation I need to setup. Thanks
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Let V(t) represent the volume of water in the tank at time t.
dV/dt = c√(V) for some constant c
dV/dt = c√(V) for some constant c
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dV/dt = k sqrt (V)
dV/dt * 1 / sqrt(V) = k
[ 1 / sqrt(V) ] dV = [ k ] dt
dV/dt * 1 / sqrt(V) = k
[ 1 / sqrt(V) ] dV = [ k ] dt