A function y(t) satisfies the differential equation (dy)/(dt)=y^4-6y^3+5y^2 (a) What are


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?

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