The Differential Equation $x ^ { \prime \prime } - x ^ { \prime } e ^ { x } = 0$

question 33

Multiple Choice

The differential equation $x ^ { \prime \prime } - x ^ { \prime } e ^ { x } = 0$ can be rewritten as the system

• A) \(x ^ { \prime } = x , u ^ { \prime } = x e ^ { x }\)
• B) \(x ^ { \prime } = x , u ^ { \prime } = u e ^ { x }\)
• C) \(x ^ { \prime } = u , u ^ { \prime } = x e ^ { u }\)
• D) \(x ^ { \prime } = u , u ^ { \prime } = x e ^ { x }\)
• E) \(x ^ { \prime } = u , u ^ { \prime } = u e ^ { x }\)

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Definitions:

Machine-Hours

A unit of measure indicating the operational time of machinery, often used in manufacturing to allocate costs based on machine usage.

Predetermined Overhead Rate

An estimated rate used to assign manufacturing overhead costs to individual units of production, calculated at the beginning of a period.

Machine-Hours

The total hours that production machinery is operated within a given period, rephrased as the aggregate operational time of production equipment.

Direct Labor-Hours

The total hours worked by employees directly involved in the production process, used as a basis for allocating labor costs to products.