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Find the general solution of the differ...

Find the general solution of the differential equations '(dy)/(dx)=sqrt(4-y^2)(-2

Text Solution

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Given,
`=>(dy)/(dx)​=sqrt(4−y^2)`
`=>(dy)/(sqrt(4-y^2))=dx`
Integrating both sides,
`=>(sin^(−1)y)/2=x+c`
`=>y=sin(x+c)`
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NCERT ENGLISH-DIFFERENTIAL EQUATIONS-EXERCISE 9.4
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