A Particular Solution of the Differential Equation $y ^ { \prime \prime } + 4 y ^ { \prime } + 4 y = e ^ { 2 x }$

question 1

Multiple Choice

A particular solution of the differential equation $y ^ { \prime \prime } + 4 y ^ { \prime } + 4 y = e ^ { 2 x }$ is

• A) \(y _ { p } = e ^ { 2 x }\)
• B) \(y _ { p } = x ^ { 2 } e ^ { 2 x } / 2\)
• C) \(y _ { p } = 2 x e ^ { 2 x }\)
• D) \(y _ { p } = e ^ { 2 x } / 4\)
• E) \(y _ { p } = e ^ { 2 x } / 16\)

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