$\text { Solve the Bernoulli differential equation } x y ^ { t} + y = x y ^ { 12 } \text {. }$

Multiple Choice

$\text { Solve the Bernoulli differential equation } x y ^ { t} + y = x y ^ { 12 } \text {. }$

A) $y ^ { - 11 } = 10 x + C x ^ { 11 }$
B) $y ^ { - 11 } = 11 x - C x ^ { 11 }$
C) $y ^ { - 11 } = 9 x + C x ^ { 11 }$
D) $y ^ { - 11 } = \frac { 10 } { 11 } x + C x ^ { 10 }$
E) $y ^ { - 11 } = \frac { 11 } { 10 } x + C x ^ { 11 }$