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Which of the Following Functions Are Solutions to the Differential d2ydx2=y\frac { d ^ { 2 } y } { d x ^ { 2 } } = - y

Question 61

Multiple Choice

Which of the following functions are solutions to the differential equation d2ydx2=y\frac { d ^ { 2 } y } { d x ^ { 2 } } = - y ? (Mark all correct answers)


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

Correct Answer:

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