# The population p(t) at time t of a certain mouse species satisfies the differential equation .If p(0) = 850, then the time at which the population becomes zero is Option 1) Option 2) Option 3)   Option 4)

As we learnt in

Solution of Differential Equation -

put

- wherein

Equation with convert to

given $\frac{d\left ( p\left ( t \right ) \right )}{dt}= 0.5p\left ( t \right )-450$

$\Rightarrow p= 900-50.e^{t/2}$

Option 1)

This option is correct.

Option 2)

This option is incorrect.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.

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