Homework Statement
Given that a population, P, after t months, can be modeled by the logistic model
dP/dt = .3 P (3.5 - P/40).
P(0) = 30
a) Solve the diff eq
b) Find the population after 2.5 months
c) Find lim P(t) as t -> infinity
Homework Equations
P(t) = P0 P1 /(P0 + (P1...
Homework Statement
Use the method for Homogeneous Equations to slove
(xy + y^2) dx - x^2 dy = 0
Homework Equations
The Attempt at a Solution
I attempted to get dx/dy on one side and substitute but could not get farther than this
dx/dy = x^2/(xy + y^2)