Find the Particular Solution of the Differential Equation $x \frac{d y}{d x}+5 y=x^{2} ; y=12$

Multiple Choice

Find the particular solution of the differential equation.
- $x \frac{d y}{d x}+5 y=x^{2} ; y=12$ when $x=2$

A) $y=\frac{8}{x^{2}}-\frac{3}{x^{3}}$
B) $y=\frac{x^{2}}{7}+\frac{2560}{7 x^{5}}$
C) $y=\frac{x^{2}}{7}+\frac{2560}{x^{5}}$
D) $y=\frac{7}{x^{2}}+7 x^{5}$