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" 18."(dy)/(dx)=y tan x-y^(2)sec x...

" 18."(dy)/(dx)=y tan x-y^(2)sec x

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Solve (dy)/(dx)+y tan x=y^(2)sec x

Solve (dy)/(dx)+y tan x=y^(2)sec x

Solve (dy)/(dx)+y tan x=y^(2)sec x

(dy)/(dx) + 2y tan x = sec x

The solution of (dy)/(dx) -y tan x = e^(x) sec x is

dy/dx - y tan x = e^(x) sec x

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

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

y sec x = tan x + c is a solution of D.E . (dy)/(dx) +y tan x =sec x .

The general solution of (dy)/(dx)+y tan x=sec x is