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Which of the Following Functions Are Solutions to the Differential dydx=25y\frac { d y } { d x } = - 25 y

Question 83

Multiple Choice

Which of the following functions are solutions to the differential equation dydx=25y\frac { d y } { d x } = - 25 y ? (Mark all correct answers)


A) y=sin(5x) +cos(5x) y = \sin ( 5 x ) + \cos ( 5 x )
B) y=5cosxsinxy = 5 \cos x - \sin x
C) y=ex/5y = e ^ { x / 5 }
D) y=ex/5y = e ^ { - x / 5 }

Correct Answer:

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