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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 -cos y = x` : `(y sin y + cos y + x) y' = y`

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Given,
`=> y−cosy=x`
`=>x+cosy=y.........(1)`
Differentiating w.r.t x,
`=>1+(−siny)y′=y′`
`=>1−sinyy′=y′`
`=>y’+sinyy’=1`
`=>y′(1+siny)=1.....(2)`
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