Assume that the rate of change of the unit price of a commodity is proportional to the difference between the demand and the supply so that where k is a constant of proportionality. Suppose that D=74-5p, S=2+3p, and p(0)=2. Find a formula for p(t).

Question

Assume that the rate of change of the unit price of a commodity is proportional to the difference between the demand and the supply so that  ​ where k is a constant of proportionality. Suppose that D=74-5p, S=2+3p, and p(0)=2. Find a formula for p(t).

Quizplus · Accepted Answer

The Answer of Assume that the rate of change of the unit price of a commodity is proportional to the difference between the demand and the supply so that  ​ where k is a constant of proportionality. Suppose that D=74-5p, S=2+3p, and p(0)=2. Find a formula for p(t).

Assume That the Rate of Change of the Unit Price