Question: Suppose that a function y(t) satisfies the following differential equation. (dy)/(dt)=y^(4)-10y^(3)+24y^(2)(a) What are the solutions of the form y(t)=k, where k is a constant? (Enter

Suppose that a function y(t) satisfies the following differential equation. (dy)/(dt)=y^(4)-10y^(3)+24y^(2)(a) What are the solutions of the form y(t)=k, where k is a constant? (Enter your answers as a comma-separated list.) y=(b) What values of y correspond to y increasing? (Enter your answer in interval notation.)(c) What values of y correspond to y decreasing? (Enter your answer in interval notation.)

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