Which of the Following Functions Are Solutions to the Differential $\frac { d y } { d x } = - \frac { 1 } { 6 } y$

question 57

Multiple Choice

Which of the following functions are solutions to the differential equation $\frac { d y } { d x } = - \frac { 1 } { 6 } y$ ? (Mark all correct answers.)

• A) \(y = \sin ( 6 x ) + \cos ( 6 x )\)
• B) \(y = 6 \cos x - \sin x\)
• C) \(y = e ^ { x / 6 }\)
• D) \(y = e ^ { - x / 6 }\)

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