Originally Posted by

**fifthrapiers** Given that the population of a certain fish species increases according to the model below:

$\displaystyle \frac{dP}{dt}=0.3\left(1-\frac{P}{200}\right)\left(\frac{P}{50}-1\right)P$

1.) Determine the values for P where the pop'n is at equilibrium.

2.) Use Euler's Method to approximate the time it would take for an initial pop'n of 58,000 to grow to 175,000.

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So, for #1 we just set dP/dt = 0, and solve for P

$\displaystyle 0= 0.3\left(1-\frac{P}{200}\right)\left(\frac{P}{50}-1\right)P$

P = 0 or P = 50 or P = 200.

Not sure for #2!