Consider the Differential Equation Y' = Y - $y ^ { 2 }$

question 51

Multiple Choice

Consider the differential equation y' = y - $y ^ { 2 }$ . Which of the following statements is/are true?

• A) The function f(t) = \(\frac { 1 } { \left( 1 + e ^ { - t } \right) }\) is a solution to this differential equation with initial condition \(y ( 0 ) = \frac { 1 } { 2 }\)
• B) This differential equation has infinitely many solutions.
• C) The constant function f(t) = 1 is a solution to this differential equation.
• D) If f(t) is a solution to the differential equation satisfying the initial condition y(0) = 0, then \(f ^ { \prime } ( 0 ) = 0\)
• E) All of these statements are true.

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Definitions:

Persuasion

The process of changing another person's attitudes, beliefs, or behaviors through argumentation, appeal, or explanation.

Persuasive Message

Communication intended to influence the attitudes, beliefs, or behaviors of others through argumentation, appeals, or other means.

Arguments

Statements or reasons given with the aim of persuading others that an action or idea is right or wrong.

Elaboration Likelihood Model

A theory in social psychology that explains how attitudes are formed and changed through two routes of persuasion: central and peripheral.