The Solution Of $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } = 0$

question 31

Multiple Choice

The solution of $x ^ { 2 } y ^ { \prime \prime } + x y ^ { \prime } = 0$ is

• A) \(y = c _ { 1 } + c _ { 2 } x ^ { - 1 }\)
• B) \(y = c _ { 1 } \ln x + c _ { 2 } x ^ { - 1 }\)
• C) \(y = c _ { 1 } + c _ { 2 } \ln x\)
• D) \(y = c _ { 1 } + c _ { 2 } x\)
• E) \(y = c _ { 1 } + c _ { 2 } x ^ { - 2 }\)

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Definitions:

Contribution Margin

The difference between sales revenue and variable costs, indicating how much revenue contributes towards covering fixed costs and generating profit.

Machine Hours

A measure of production time, calculated as the total hours that machinery is operated over a specific period.

Contribution Margin

The amount remaining from sales revenue after variable costs have been deducted, indicating the contribution of sales to covering fixed expenses.

Machine Hours

A measure of the amount of time a machine is operated, used as a basis for allocating manufacturing overhead to products.