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

Question

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

Quizplus · Accepted Answer

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

A Direction Field Is Given Below dydx=sin⁡x\frac { d y } { d x } = \sin xdxdy​=sinx

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