The Solution Of $y ^ { \prime \prime } + 2 y ^ { \prime } = x + e ^ { x }$

question 27

Multiple Choice

The solution of $y ^ { \prime \prime } + 2 y ^ { \prime } = x + e ^ { x }$ is

• A) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 - x / 4 + e ^ { x } / 3\)
• B) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 + x / 4 - e ^ { x } / 3\)
• C) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } + x ^ { 2 } / 4 + x / 4 + e ^ { x } / 3\)
• D) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } - x ^ { 2 } / 4 - x / 4 - e ^ { x } / 3\)
• E) \(y = c _ { 1 } + c _ { 2 } e ^ { - 2 x } - x ^ { 2 } / 4 - x / 4 + e ^ { x } / 3\)

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