Solve the Initial Value Problem $$\frac { d y } { d x } + x y = 4 x ; y ( 0 ) = - 4$$

question 3

Multiple Choice

Solve the initial value problem.
- $$\frac { d y } { d x } + x y = 4 x ; y ( 0 ) = - 4$$

• A) \(y = 4 e ^ { x ^ { 2 } / 2 } - 8\)
• B) \(y = 4 e ^ { - x ^ { 2 } / 2 } - 8\)
• C) \(y = - 8 e ^ { x ^ { 2 } / 2 } + 4\)
• D) \(y = - 8 e ^ { - x ^ { 2 } / 2 } + 4\)

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Definitions:

Criterion Validity

The extent to which a measure is related to an outcome.

Quality

The degree to which a set of inherent characteristics fulfills requirements or expectations.

Type

A category or classification, often used to describe different forms or variations of objects, conditions, or phenomena.

Predictive Ability

The capability of a model or score to accurately forecast or estimate the likelihood of future outcomes or behaviors.