Which of the Following Functions Are Solutions to the Differential $\frac { d ^ { 2 } y } { d x ^ { 2 } } = - y$

question 61

Multiple Choice

Which of the following functions are solutions to the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } = - y$ ? (Mark all correct answers)

• A) \(y = \sin ( 8 x ) + \cos ( 8 x )\)
• B) \(y = 8 \cos x - \sin x\)
• C) \(y = e ^ { x / 8 }\)
• D) \(y = e ^ { - x / 8 }\)

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