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

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

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

dy/dx- y tan x = e^(2)

The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x) sec 2x is

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

Solve: (dy)/(dx)-(tan y)/(1+x)=(1+x)e^(x)sec y

The solution of the differential equation (dy)/(dx)+(tan y)/(x)=(e^(x)sec y*x) is equal to

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)