The Auxiliary Equation for the Differential Equation $x ^ { 2 } y ^ { \prime \prime } + 3 x y ^ { \prime } + y = 6$

question 4

Multiple Choice

The auxiliary equation for the differential equation $x ^ { 2 } y ^ { \prime \prime } + 3 x y ^ { \prime } + y = 6$ is

• A) \(m ^ { 2 } + 3 m + 1\)
• B) \(m ^ { 2 } + 3 m + 1 = 0\)
• C) \(m ^ { 2 } + 2 m + 1 = 0\)
• D) \(m ^ { 2 } + 3 m + 1 = 6\)
• E) \(m ^ { 2 } + 2 m + 1 = 6\)

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