Solve x x ( d y d x )+y(-x x+ x)=1 .

Mathematics · JEE Main · NTA ExamsDifferential Equations

Solve \(x \cos x\left(\frac{d y}{d x}\right)+y(-x \sin x+\cos x)=1\).
  1. \(y=x \tan x+\sin x+c\)
  2. \(x=y \tan x+c\)
  3. \(x y \sec x=\tan x+c\)
  4. \(x y \cos x=x+c\)

Answer

(C) x y x= x+c

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