Use Power Series to Solve the Differential Equation $$y ^ {tt } = 36 y$$

question 19

Multiple Choice

Use power series to solve the differential equation. $$y ^ {tt } = 36 y$$

• A) \(y ( x ) = c _ { 1 } \cosh 6 x + c _ { 2 } \sinh 6 x\)
• B) \(y ( x ) = 6 \cosh x + 6 \sinh x\)
• C) \(y ( x ) = c _ { 1 } 6 \cosh x + c _ { 2 } 6 \sinh x + e ^ { x }\)
• D) \(y ( x ) = c _ { 1 } \cosh 6 x + c _ { 2 } \sinh 6 x + e ^ { x }\)
• E) \(y ( x ) = c _ { 1 } \cosh 6 x + c _ { 2 } \sinh 6 x + x ^ { 2 }\)