A Direction Field Is Given Below $\frac { d y } { d x } = \sin x$

question 58

Multiple Choice

A direction field is given below. Which of the following represents its differential equation?

• A) \(\frac { d y } { d x } = \sin x\)
• B) \(\frac { d y } { d x } = - y\)
• C) \(\frac { d y } { d x } = y - \frac { 1 } { 2 } y ^ { 2 }\)
• D) \(\frac { d y } { d x } = x + y\)
• E) \(\frac { d y } { d x } = x ^ { 2 }\)
• F) \(\frac { d y } { d x } = 1\)
• G) \(\frac { d y } { d x } = y ^ { 2 }\)
• H) \(\frac { d y } { d x } = x ^ { 2 } + y ^ { 2 }\)

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Definitions:

Similar Underlying Structure

Refers to different elements or systems having a fundamentally alike foundation or organization despite surface differences.

Metalinguistic Awareness

An understanding of one’s own use of language.

Language Understanding

The ability to comprehend spoken or written communication, including the recognition of vocabulary and grammar, as well as the interpretation of meaning.

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