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The solution of the differential equation `dy/dx = -(tan y/tan x)` is

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Knowledge Check

  • The solution of the differential equation dy/dx=y tan x-2 sin x, is

    A
    y sin x = c + sin 2x
    B
    y cos x = c + 1/2 sin 2x
    C
    y cos x = c - sin 2x
    D
    y cos x = c + 1/2 cos 2x
  • The solution of the differential equation dy/dx=y tan x-2 sin x, is

    A
    y sin x = c + sin 2x
    B
    y cos x = c + 1/2 sin 2x
    C
    y cos x = c - sin 2x
    D
    y cos x = c + 1/2 cos 2x
  • The solution of the differential equation (dy)/(dx) = sec x -y tan x is

    A
    y sec x = tan x +c
    B
    y sec x + tan x =c
    C
    sec x = y tan x + c
    D
    sec x + y tan x=c
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