Explanation:tions of the differential equation ( d y d x )^ 2 - d y d x (e^ x +e^ -x…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

Explanation:tions of the differential equation
\(\left(\frac{d y}{d x}\right)^{2}-\frac{d y}{d x}\left(e^{x}+e^{-x}\right)+1=0\) are given by
  1. \(y+e^{-x}=C\)
  2. \(y-e^{-x}=C\)
  3. \(y+e^{x}=C\)
  4. \(y-e^{x}=C\)

Answer

(A) y+e^ -x =C, (D) y-e^ x =C

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