Question

The field mouse population satisfies the differential equation dp/dt=0.5p-450. Find the time of extinction if p(0)=850. I am having problems approaching this problem.

Also, this hw is not taken up for a grade. I just want to be ready when the test comes.

Answer 1

this is what we call and initial value problem, your given an equation for the popluation of the mice, what you want to to is find the equation that the describes the time of extinction, i would suggest integrating the given equation, and then using the fact that p(0)=850 to find the value of the constant C

Answer 2

But after integrating and substituting zero for t there are still two unknowns, p and the constant of integration. More information is needed on the initial conditions.

Answer 3

right, its an incomplete problem

Answer 4

That's what I thought, but that's the only information given in the problem. It does reference an example, though.

Answer 5

well, i if you want to solve the problem you posted, then we need the rest of it. Is the example related to the problem you posted?

Answer 6

The example only explains how to get the equation dp/dt=0.5p-450.

Answer 7

V for Vendetta,

i can t helpt unless i see a complete problem

Answer 8

Is a great film!

That was all the question said in the book. Thanks for taking the time to try to help me, I appreciate it.

Answer 9

with an initial condition we could try out a laplace :)

Answer 10

but then its prolly a better try to separate it