Use Power Series to Solve the Differential Equation $y ^ { \prime \prime } = 25 y$

question 28

Multiple Choice

Use power series to solve the differential equation. $y ^ { \prime \prime } = 25 y$

• A) \(y ( x ) = c _ { 1 } \cosh 5 x + c _ { 2 } \sinh 5 x\)
• B) \(y ( x ) = c _ { 1 } 5 \cosh x + c _ { 2 } 5 \sinh x + e ^ { x }\)
• C) \(y ( x ) = 5 \cosh x + 5 \sinh x\)
• D) \(y ( x ) = c _ { 1 } \cosh 5 x + c _ { 2 } \sinh 5 x + e ^ { x }\)
• E) \(y ( x ) = c _ { 1 } \cosh 5 x + c _ { 2 } \sinh 5 x + x ^ { 2 }\)

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Definitions:

Equivalent Units

A concept used in process costing that converts partially completed units into a number of fully equivalent completed units.

Physical Units

A measure used in manufacturing and production to count the actual units produced, irrespective of the production stage.

Units Started

The number of units of product that have begun the production process but are not yet completed.

Units Accounted

The total count of units tracked in an inventory or production system, including those produced, sold, and currently in stock.