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

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) $\frac { d y } { d x } = x ^ { 2 } + y ^ { 2 }$