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" (2) "cos x:(dy)/(dx)+tan x=cos y cos^(...

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

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

solved the differential equation tan y(dy)/(dx)+tan x=cos y cos^(2)x

An integrating factor of the differential equation cos^(2) x (dy)/(dx) - (tan 2x) y = cos^(4) x is

tan y (dy) / (dx) + tan x = cos y * cos ^ (3) x

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

(x + y (dy) / (dx)) / (yx (dy) / (dx)) = (x cos ^ (2) (x ^ (2) + y ^ (2))) / (y ^ ( 3))

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

The integrating factor of cos^(2) x(dy)/(dx) +y = tan x is

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