Question

A function y(t) satisfies the differential equation dy dt = y4 − 11y3 + 24y2. (a)...

A function y(t) satisfies the differential equation

dy
dt

= y4 − 11y3 + 24y2.

(a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.)
y =



(b) For what values of y is y increasing? (Enter your answer in interval notation.)
y  



(c) For what values of y is y decreasing? (Enter your answer in interval notation.)
y  

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