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हल कीजिए- (dy)/(dx)+y tan x=x^(m)cos x...

हल कीजिए-
`(dy)/(dx)+y tan x=x^(m)cos x.`

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(dy)/(dx)+y tan x=sec x

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The I.F of (dy)/(dx)-y tan x=cos x is

tan y (dy)/(dx) = sin x + cos x

(dy)/(dx)=1+x tan(y-x)

The integrating factor for (dy)/(dx) - 2y tan x = cos x is :

x(dy)/(dx)=y-x "tan" (y)/(x)

(dy) / (dx) = cos x + tan x

x(dy)/(dx)=y-x(tan y)/(x)dydx

tan y * (dy) / (dx) + tan x = cos y cos ^ (2) x