# Calculus: Derivatives: General Problems – #19688

Question: A function $$y\left( t \right)$$ satisfies the differential equation

$\frac{dy}{dt}={{y}^{4}}-6{{y}^{3}}+5{{y}^{2}}$

(a) What are the constant solutions of the equation?

(b) For what values of y is y increasing?

(c) For what values of y is y decreasing?