Which of the Following Functions Are the Constant Solutions of the Equation

question 9

Essay

Which of the following functions are the constant solutions of the equation $$\frac { d y } { d t } = y ^ { 4 } - y ^ { 3 } + 6 y ^ { 2 }$$
a. $y ( t ) = 2$
b. $y ( t ) = 3$
c. $y ( t ) = 5$
d. $y ( t ) = 0$
e. $y ( t ) = e ^ { t }$

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Definitions:

Macronutrient

A type of nutrient required in large amounts for proper growth, metabolism, and physiological function, including carbohydrates, proteins, and fats.

Membrane Permeability

A measure of the ability of a biological membrane to allow substances to pass through it, which can be affected by factors such as temperature and pH.

Macronutrient

Nutrients required by organisms in larger amounts for growth and energy, including proteins, carbohydrates, and fats.

Carbohydrates

Organic compounds consisting of carbon, hydrogen, and oxygen, in a ratio of 1:2:1 respectively, serving as a major energy source for organisms.