I guess I forgot to write the C in. but I've come up with something else but I don't know if it's correct.
Taking P= 5/2 + 1/(C+t) I used P(0)=P0 = 1/C +5/2. then solved for C and got.
C=1/(P0-(5/2))
Then: used P(t1)=0 and plugged in my C value into the original P= 5/2 + 1/(C+t) getting...
by solving for P, I get: P= 1/t + 5/2. With what respect am I taking the derivative because if you do P you will get 1. Otherwise dP/dt= -1/t2. I'm still stuck either way because our professor doesn't explain topics very well. He just writes things out and doesn't actually say what he did so...
Here is the question:
Investigate the harvesting model in problem 5 both qualitatively and analytically in the case a=5, b=1, and h=25/4. Determine whether the population becomes extinct in finite time. If so, find that time.
The information from problem 5 is:
dP/dt= P(a-bP)-h ...
Hey everyone, I'm new to the forums here and just have a question.
Homework Statement
A piston-cylinder device contains a mixture of .2kg of H2 and 1.6kg of N2 at 100kPa and 300K. Heat is now transferred to the mixture at constant pressure until the volume is doubled. Assuming constant...