A function y(t) satisfies the differential equation dy/dt = y^4 - 9y^3 + 20y^2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = 0,6,7 (b) For what values of y is y increasing? (Enter your answer in interval notation.) y ? (-?,0),(0,6),(7,?) (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y ? (6,7)
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First, we are given the differential equation: $$y'(t) = y^4 - 9y^3 + 20y^2$$ (a) Show more…
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