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If (d^(2)y)/(dx^(2))+sinx=0, then the so...

If `(d^(2)y)/(dx^(2))+sinx=0`, then the solution of differential equation is

A

`y=sinx+cx+d`

B

`y=cosx+cx^(2)+d`

C

`y=tanx+c`

D

`y=logsinx+cx`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `(d^(2)y)/(dx^(2))+sinx=0`
`implies(d^(2)y)/(dx^(2))=-sinx`
On integration,
`(dy)/(dx)=cosx+c`
Again integration,
`y=sinx+cx+d`
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