A function y(t) satisfies the differential equation dy/dt = y^4 - 5y^3 + 6y^2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = 0,1,6 (b) For what values of y is y increasing? (Enter your answer in interval notation.) y ? (0,1) (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y ? (1,6)
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First, we are given the differential equation: $$\frac{dy}{dt} = y^3 + 6y^2$$ (a) Show more…
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