Solution of the differential equation x d y=y( x-y) d x (0 , is

Mathematics · JEE Main · NTA ExamsDifferential Equations

Solution of the differential equation \(\cos x d y=y(\sin x-y) d x\left(0, is
  1. \(y \sec x=\tan x+c\)
  2. \(y \tan x=\sec x+c\)
  3. \(\tan x=y(\sec x+c)\)
  4. \(\sec x=y(\tan x+c)\)

Answer

(D) x=y( x+c)

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