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let Y=y(x) the solution of the differentiation equation sin x DY / DX + cos x = 4 x. X belong to (0,π) if π/ 2=0 then. π/6= ?

let Y=y(x) the solution of the differentiation equation sin x DY / DX + cos x = 4 x. X belong to (0,π) if π/ 2=0 then. π/6= ?

Grade:12

1 Answers

Arun
25763 Points
3 years ago
sinx dy/dx + cos x = 4x
dy/dx + cot x = 4x cosecx
dy = (4x  cosecx - cot x )dx
Now integrate
As both the integrand are simple to be integrated. So you can solve it on your own.
In case of any difficulty, please feel free to ask.

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