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

question 109

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:

Control Structure

Constructs in programming that control the flow of execution of statements or blocks of code, such as loops and conditional statements.

Loop

A programming construct that repeats a block of code multiple times until a specified condition is met or no longer met.

While Expression

A while expression is a control flow statement that allows code to be executed repeatedly based on a given Boolean condition.

Terminates

Refers to the process where a program or process reaches its conclusion and stops running, either normally or through interruption.