Solution of the differential equation cos x dy = y (sin x – y) dx, 0 < x < 2 , is

Mathematics · JEE Main · NTA ExamsDifferential Equations

Solution of the differential equation
cos x dy = y (sin x – y) dx, 0 < x < \(\frac{\pi}{2},\)is
  1. sec x = (tan x + c) y
  2. y sec x = tan x + c
  3. y tan x = sec x + c
  4. tan x = (sec x + c) y

Answer

(A) sec x = (tan x + c) y

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