For the Differential Equation, Find the Particular Solution If $y = \frac { 1 } { 2 }$

Multiple Choice

For the differential equation, find the particular solution if $y = \frac { 1 } { 2 }$ when $x = \frac { 1 } { 5 }$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y ^ { 2 } } { x ^ { 2 } }$

A) $y = \frac { 1 } { 1 - 3 x }$
B) $y = \frac { x } { 1 - 3 x }$
C) $y = \frac { x } { 3 - x }$
D) $y = - \frac { 3 } { 1 - x }$
E) $y = \frac { x } { 1 + 3 x }$