 # Write a differential equation that represents thissituation. The rate of change of the mass A of salt at time t isproportional to the square of the mass of salt present at time t. Karsyn Beltran 2022-07-27 Answered
Write a differential equation that represents thissituation.
The rate of change of the mass A of salt at time t isproportional to the square of the mass of salt present at time t.
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To solve this differential equation, we should first set up the variables.
The question is asking for the rate of change of A compared with time which is simply denoted
$\frac{dA}{dt}$
For this Differential Equation we will also need a proportionalityconstant. A proportionality constant is something that is multiplied by a proportional function in order to make the given statement true. We need these for all proportions that are not 1 to 1. Since the problem does not specify what the proportion is, we will denote the proportion constant as K.
We are now ready to set up our Differential Equation:
$\frac{dA}{dt}=k{A}^{2}$
###### Not exactly what you’re looking for? Talon Mcbride
$dA/dt=C{A}^{2}$
Where C is a constant and A(t) is the mass of salt at time t