The General Solution of the First-Order Differential Equation $\left( x ^ { 2 } + 1 \right) y ^ { \prime } - x y = 1$

Multiple Choice

The general solution of the first-order differential equation $\left( x ^ { 2 } + 1 \right) y ^ { \prime } - x y = 1$ is

A) $y = 2 x + C \sqrt { x ^ { 2 } + 1 }$
B) $y = 3 x + C \sqrt { x ^ { 2 } + 1 }$
C) $y = - x + C \sqrt { x ^ { 2 } + 1 }$
D) $y = x + C \sqrt { x ^ { 2 } + 1 }$
E) $y = x - C \sqrt { x ^ { 2 } + 1 }$