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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