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Verify that the given functions (explic...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:`y=cosx+C` : `yprime+sinx=0`

Text Solution

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Given,
`=>y′+sinx=0`
`⇒(dy)/(dx)​+sinx=0`
`⇒dy=sinxdx`
Integrating on both side `=>∫dy=∫sinxdx`
`⇒y=cosx+c`
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