Answer:
2√P = t + 20
Explanation:
Rate of change of a rabbit population ∝ √P
-----(1)
At time 't' = 0 the population of the rabbits (P) = 100 and
rabbits per month.
We plug in the values in the equation (1),

k = 1
Equation (1) becomes,


By the integration of this equation,



Again for t = 0 and P = 100,

C = 20
Now the integrated equation will be,

Therefore, formula representing population P after time t is,
2√P = t + 20