The Auxiliary Equation for the Differential Equation $x ^ { 2 } y ^ { \prime \prime } + 5 y ^ { \prime } + 4 y = 6$

question 20

Multiple Choice

The auxiliary equation for the differential equation $x ^ { 2 } y ^ { \prime \prime } + 5 y ^ { \prime } + 4 y = 6$ is

• A) \(m ^ { 2 } + 5 m + 4\)
• B) \(m ^ { 2 } + 4 m + 4 = 0\)
• C) \(m ^ { 2 } + 5 m + 4 = 0\)
• D) \(m ^ { 2 } + 5 m + 4 = 6\)
• E) \(m ^ { 2 } + 4 m + 4 = 6\)

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Costs that do not change with the level of output produced, such as rent, salaries, or insurance expenses.

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