For the Given Differential Equation, Find the Particular Solution If $y = 3$

Multiple Choice

For the given differential equation, find the particular solution if $y = 3$ when $x = 2$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { x ^ { 2 } } { y ^ { 2 } }$

A) $y = \sqrt [ 3 ] { x ^ { 3 } - 19 }$
B) $y = \sqrt [ 3 ] { x - 19 }$
C) $y = \sqrt { x ^ { 2 } + 19 }$
D) $y = x + 19$
E) $y = \sqrt [ 3 ] { x ^ { 3 } + 19 }$