Question

A function y(t) satisfies the differential equation dy/dt = y^4 - 12y^3 + 32y^2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = 4,8,0 (b) For what values of y is y increasing? (Enter your answer in interval notation.) y ? (-?,4) ? (8,?) (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y ? (4,8)

          A function y(t) satisfies the differential equation
dy/dt = y^4 - 12y^3 + 32y^2.
(a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.)
y = 4,8,0
(b) For what values of y is y increasing? (Enter your answer in interval notation.)
y ? (-?,4) ? (8,?)
(c) For what values of y is y decreasing? (Enter your answer in interval notation.)
y ? (4,8)

A function y(t) satisfies the differential equation
dy/dt = y^4 - 12y^3 + 32y^2.
(a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.)
y = 4,8,0
(b) For what values of y is y increasing? (Enter your answer in interval notation.)
y ? (-?,4) ? (8,?)
(c) For what values of y is y decreasing? (Enter your answer in interval notation.)
y ? (4,8)

Added by Lindsey G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/11/2023

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A function y(t) satisfies the differential equation dy/dt = y^4 - 12y^3 + 32y^2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = 4,8,0 (b) For what values of y is y increasing? (Enter your answer in interval notation.) y ∈ (-∞,4) ∪ (8,∞) (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y ∈ (4,8)