Solve the Differential Equation $y ^ { \prime } e ^ { 5 x } + 5 y e ^ { 5 x } = 4 x$

question 88

Multiple Choice

Solve the differential equation.
- $y ^ { \prime } e ^ { 5 x } + 5 y e ^ { 5 x } = 4 x$

• A) \(y = 4 x ^ { 2 } e ^ { - 5 x } + C e ^ { - 5 x }\)
• B) \(y = 4 x ^ { 2 } e ^ { 5 x } + C e ^ { 5 x }\)
• C) \(y = 2 x ^ { 2 } e ^ { - 5 x } + C e ^ { - 5 x }\)
• D) \(y = 2 x ^ { 2 } e ^ { 5 x } + C e ^ { 5 x }\)

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