The solution of the equation x^ 3 d y d x +4 x^ 2 tan y = e x sec y satisfying y (1) = 0…

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the equation \(x^{3} \frac{d y}{d x}+4 x^{2}\) tan y = ex sec y satisfying y (1) = 0, is
  1. tan y = (x – 2) ex log 3
  2. sin y = ex (x – 1) x–4
  3. tan y = (x – 1) ex x–3
  4. sin y = ex (x – 1) x–3

Answer

(B) sin y = e x (x – 1) x –4

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