Verify that the given functions (explic...

Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:(2)`y=x^2+2x+C` : `yprime-2x-2=0`(3)`y=cos x+c : y'+sinx=0`

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Given,
`=>y′−2x−2=0`
`⇒(dy)/(dx)=2x+2`
`⇒dy=(2x+2)dx`
Integrating both sides
`=>∫dy=∫(2x+2)dx`
`=>y=x^2+2x+c`

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