A Certain Drug Is Introduced into a Person's Bloodstream $y ^ { \prime } = k t y ^ { 2 } , \text { where } k \text { is a negative constant }$

question 54

True/False

A certain drug is introduced into a person's bloodstream. Suppose that the rate of decrease of the concentration of the drug in the blood is directly proportional to the product of two quantities: (a) the amount of time elapsed since the drug was introduced, and (b) the square of the concentration. Let y = f(t) denote the concentration of the drug in the blood at time t. Set up a differential equation satisfied by f(t). Does the following accurately describe this situation: $y ^ { \prime } = k t y ^ { 2 } , \text { where } k \text { is a negative constant }$

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