The following differential equations for the production of a chemical P share the properties that the rate of change at t 0 is 5 0, and the limit as t is 0 For each, find the solution starting from the initial condition P(0) 0, sketch the solution, and say what happens to P(t) as t Compute P(10) an...

Integrating P t 2 5 ln1 2 0 t c Substituting the initial conditi ...

The following differential equations for the production of a chemical P share the properties that the rate

Question:

The following differential equations for the production of a chemical P share the properties that the rate of change at t = 0 is 5.0, and the limit as t †’ ˆž is 0. For each, find the solution starting from the initial condition P(0) = 0, sketch the solution, and say what happens to P(t) as t †’ ˆž. Compute P(10) and P(100). Why do some increase to infinity while others do not?

dP = 2.5 dt +e 1+t