A Particular Solution of the Differential Equation $y ^ { \prime \prime } + 3 y ^ { \prime } - 4 y = e ^ { x }$

question 2

Multiple Choice

A particular solution of the differential equation $y ^ { \prime \prime } + 3 y ^ { \prime } - 4 y = e ^ { x }$ is

• A) \(y _ { p } = x ^ { 2 } e ^ { x }\)
• B) \(y _ { p } = x e ^ { x } / 5\)
• C) \(y _ { p } = x e ^ { x }\)
• D) \(y _ { p } = e ^ { x }\)
• E) \(y _ { p } = e ^ { - x } / 5\)

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