Use the techniques of this section to solve the differential equation in Exercise 36 Are there any equilibrium solutions for this differential equation?
Reference: Example 36
In the mixing problem in this section, we had to make a choice of dependent variable. We used the amount of sugar as the dependent variable, but we could have used the concentration of sugar as the dependent variable. If S(t) is the total amount of sugar in the vat at time t, then the concentration at time t is given by C(t) = S(t)/100 and is measured in tablespoons per gallon. Write a differential equation modeling the assumptions in the section using C(t) as the dependent variable.
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