Q.

y=aemx+be−mx satisfies which of the following differential equations?

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a

dydx−my=0

b

dydx+my=0

c

d2ydx2+1n2y=0

d

d2ydx2−m2y=0

answer is D.

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Detailed Solution

We have,y=aemx+be−mx⇒ dydx=maemx−mbe−mx⇒ d2ydx2=m2aemx+be−mx⇒ d2ydx2=m2y⇒d2ydx2−m2y=0
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y=aemx+be−mx satisfies which of the following differential equations?