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Question

The differential equation of the family of curves y=αcosx+b is


A

d2ydx2-y=0

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B

d2ydx2+y=0

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C

d2ydx2+2y=0

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D

None of these

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Solution

The correct option is B

d2ydx2+y=0


Explanation for the correct option:

Given,

y=αcosx+b

On differentiating w.r.t x

dydx=-αsinx+b

Again,

d2ydx2=-αcosx+bd2ydx2=-yd2ydx2+y=0

Hence, the correct answer is option (B).


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