Sketch a Few Solutions of the Differential Equation on the Slope

Multiple Choice

Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. $\frac { d y } { d x } = \frac { - 2 x } { y }$

A) $2 y = 4 x ^ { 2 } + C$
B) $2 y = - 4 x + C$
C) $y ^ { 2 } = - 2 x ^ { 2 } + C$
D) $y ^ { 2 } = - 4 x + C$
E) $2 y ^ { 2 } = 2 x ^ { 2 } + C$