- #1

killersanta

- 63

- 0

## Homework Statement

Find the equilibrium and general solutions

dp/dt = 4P - 3P^2 - P^3

## The Attempt at a Solution

Equilibrium:

dp/dt = -P(P^2 - 3P - 4)

dp/dt = -P(P+4)(P-1)

Equilibrium solutions: P = 0, P = 1, P= -4

General solutions:

1/(4P-3P^2 - P^3) dp = 1dt

This is where I'm having trouble. The right side is easy enough to intergrat, but the left side I'm lost. What is the first step to intergrating that?