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

question 92

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

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