Solve the Initial Value Problem for X as a Function $$\left( t ^ { 2 } - 5 t + 6 \right) \frac { d x } { d t } = 1 \quad ( t > 3 ) , x ( 4 ) = 0$$

question 14

Multiple Choice

Solve the initial value problem for x as a function of t.
- $$\left( t ^ { 2 } - 5 t + 6 \right) \frac { d x } { d t } = 1 \quad ( t > 3 ) , x ( 4 ) = 0$$

• A) \(x = - \ln | t - 2 | + \ln | t - 3 | + \ln 2\)
• B) \(x = - \ln | t - 2 | + \ln | t - 3 | + 2\)
• C) \(x = - \ln | t - 2 | + \frac { 1 } { t - 3 } + \ln 2\)
• D) \(x = \ln | t - 2 | - \ln | t - 3 | + \ln 2\)

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Definitions:

False Self

A psychological concept referring to a version of oneself that conforms to others' expectations, often at the cost of suppressing one's true self.

Moral Reasoning

The process through which an individual makes ethical decisions, considering right from wrong.

Piaget

A Swiss psychologist known for his pioneering work in child development, specifically his theory of cognitive development that describes how children construct a mental model of the world.

Hypothetical Moral Dilemmas

Imagined scenarios presented in moral and ethical dialogues or experiments to provoke thought, discussion, or analysis about moral reasoning and decision-making.