Which of the Following Functions Solves the Differential Equation $y ^ { \prime } = e ^ { - 2 x } + 3 ?$

Multiple Choice

Which of the following functions solves the differential equation: $y ^ { \prime } = e ^ { - 2 x } + 3 ?$

A) y = $e ^ { - 2 x }$ + 3
B) y = $\frac { 1 } { 2 }$ $e ^ { - 2 x }$ + 3
C) y = - $\frac { 1 } { 2 }$ $e ^ { - 2 x }$ + 3x
D) none of these