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Biotransformation of an organic compound having concentration (x) can be modeled using an ordinary differential equation $$\frac{{{\text{dx}}}}{{{\text{dt}}}} + {\text{k}}{{\text{x}}^2} = 0,$$   where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is

Biotransformation of an organic compound having concentration (x) can be modeled using an ordinary differential equation $$\frac{{{\text{dx}}}}{{{\text{dt}}}} + {\text{k}}{{\text{x}}^2} = 0,$$   where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is Correct Answer $$\frac{1}{{\text{x}}} = \frac{1}{{\text{a}}} + {\text{kt}}$$

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