Find the equilibrium and general solutions
dp/dt = 4P - 3P^2 - P^3
The Attempt at a Solution
dp/dt = -P(P^2 - 3P - 4)
dp/dt = -P(P+4)(P-1)
Equilibrium solutions: P = 0, P = 1, P= -4
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?