00:01
This problem, let us assume p as the population of bacteria at any time t hours.
00:08
Now there is p0, that is the population at a time t is equal to 0.
00:15
Now p0 is nothing but at time t is equal to zero hours.
00:20
Also, assume k is equal to bacteria growth constant.
00:28
When we saw this, we use the constant.
00:32
Therefore, according to the problem, the rate of change of population, that is, d .p.
00:39
By dt, is proportional to the population at any time instance.
00:46
Therefore, d .p by dt is proportional to p.
00:49
From this we get d .p by dt is equals to k into p, where k is bacteria growth constant...