The number of frogs living in a pond at time t is modeled by the function y = F (t) that satisfies the logistic differential equation" = 25004 (1010-y), where t is measured in weeks. The number of frogs in the pond at time t=0 is F0 = b, where b is a positive constant.

from the first model y=F (t) ... (1) we have the equation = 25004 (1010-y) ... (2).

now you recall that t=0, from equation 1 we now y=F (0) = 0.

now from equation 2 we substitute y,

which implies number of frogs = 25004 (1010-y) but y=0

therefore 25004 (1010-0) = 25 254 040

Step-by-step explanation:

1. you define variables.

2. you define equations

3. substitute and solve