The population at time of a certain mouse species satisfies the differential equation . If , then the time at which the population becomes is
Explanation of the correct option:
Solve the given differential equation to satisfy the given condition
A differential equation is given
Since, the population of mice at is .
Assume that, the population of mice at is .
Rewrite the given differential equation as follows:
Solve the given differential equation as follows:
Now, find the time at which the population becomes .
Since at time the population becomes .
Therefore, the time at which the population becomes is .
Hence, option , is the correct answer.