Which of the Following Is a Solution of the Differential $\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0$

question 72

Multiple Choice

Which of the following is a solution of the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } - 6 \frac { d y } { d x } + 9 y = 0$

• A) \(y = e ^ { - 3 x }\)
• B) \(y = e ^ { 2 x }\)
• C) \(y = x e ^ { - 3 x }\)
• D) \(y = x e ^ { 3 x }\)
• E) \(y = e ^ { - 2 x }\)
• F) \(y = e ^ { - 3 x } + x\)
• G) \(y = x e ^ { 3 x } + x\)
• H)None of these

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