Solve the Differential Equation $$x ^ { 2 } \frac { d y } { d x } - y = 10 x ^ { 3 } e ^ { - 1 / x }$$

Multiple Choice

Solve the differential equation. Select the correct answer.
$$x ^ { 2 } \frac { d y } { d x } - y = 10 x ^ { 3 } e ^ { - 1 / x }$$

A) $y = C x e ^ { 10 x }$
B) $y = C e ^ { - 10 / x }$
C) $y = 5 e ^ { 1 / x } x + C e ^ { 1 / x }$
D) $y = 5 x ^ { 2 } e ^ { - 1 / x } + C e ^ { - 1 / x }$
E) none of these