In Problems 1316 write a differential equation that fits the

In Problems 13-16, write a differential equation that fits the physical description.

The rate of change of the mass A of salt at time t is proportional to the square of the mass of salt present at time t.

Solution

given data

mass A

time t

hence the differential equation is

dA(t)/dt = k(A(t))²

or more briefly,

dA/dt = kA²