A population grows at the rate of 5% per year. Then the population will be doubled in :

Explanation

Let population at time `t` be `x(t)`


Then, because the growth of population depends on the current population


`Rightarrow frac{{d}}{{dt}} {x}({t}) alpha {x}({t})`


The rate of increase in population is `5 %=0.05`.


This implies:


``
`Rightarrow frac{{d}}{{dt}} {x}({t})=0.05 {x}({t})`


`Rightarrow frac{{dx}({t})}{{x}({t})}=0.05 {dt}`


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