A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day. On day zero the population consists of five members. Find the population size after eight days. Step 1 Since the relative growth rate is 0.4142, then the differential equation that models this growth is dP dt

Given :

A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.

On day zero the population consists of five members.

Differential equation :

To Find :

The population size after eight days.

Solution :

Rate of growth , R = 0.4142 .

Now ,

Differential equation is :

For n = 0 .

So ,the relation is .

Putting n = 8 .

Hence , this is the required solution .

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