Solve the Differential Equation $$\frac { d y } { d x } = e ^ { 5 x - 5 y }$$

Multiple Choice

Solve the differential equation.
- $$\frac { d y } { d x } = e ^ { 5 x - 5 y }$$

A) $y = 5 e ^ { 5 x } + C$
B) $y = 5 \ln \left( e ^ { 5 x } + C \right)$
C) $y = \ln \left( e ^ { 5 x } + C \right)$
D) $y = \frac { 1 } { 5 } \ln \left( e ^ { 5 x } + C \right)$