The Solution of the Differential Equation $y ^ { \prime } - y = x$

Multiple Choice

The solution of the differential equation $y ^ { \prime } - y = x$ is

A) $y = x - 1 + c e ^ { - x }$
B) $y = x ^ { 2 } / 2 + e ^ { x }$
C) $y = x ^ { 2 } / 2 + e ^ { - x }$
D) $y = x - 1 + c e ^ { x }$
E) $y = - x - 1 + c e ^ { x }$