For the Differential Equation, Find the Particular Solution $y = 0$

Multiple Choice

For the differential equation, find the particular solution $y = 0$ when $x = 0$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = x ^ { 3 } - 14 x$

A) $y = x ^ { 4 } - 14 x ^ { 2 }$
B) $y = \frac { x ^ { 4 } } { 4 } - 7 x ^ { 2 }$
C) $y = \frac { x ^ { 4 } } { 4 } + 7 x ^ { 2 }$
D) $y = 4 x ^ { 4 } + 7 x ^ { 2 }$
E) $y = \frac { x ^ { 4 } } { 2 } - 7 x$