The differential equations, find a particular solution satisfying the given condition: `cos((dy)/(dx))=a(a in R); y=1`

Answer

`y= x cos^(-1)a+1`

Explanation

We are given

`cos((dy)/(dx))=a`


simplifying, we get,

`(dy)/(dx)=cos^(-1)a`


Separate the variables,

`dy=cos^(-1)a*dx`

Integrating both sides, we get,

`int dy=int cos^(-1)a*dx`


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