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Which of the Following Functions Are Solutions to the Differential dydx=16y\frac { d y } { d x } = - \frac { 1 } { 6 } y

Question 57

Multiple Choice

Which of the following functions are solutions to the differential equation dydx=16y\frac { d y } { d x } = - \frac { 1 } { 6 } y ? (Mark all correct answers.)


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

Correct Answer:

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