The solution of the differential equation (e^ -2 x - y x ) d x d y =1 is given by

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\mathrm{ye}^{2 \sqrt{x}}=2 \sqrt{x}+\mathrm{c}\)
2. \(\mathrm{ye}^{-2 \sqrt{\mathrm{x}}}=\sqrt{\mathrm{x}}+\mathrm{c}\)
3. \(y=\sqrt{x}\)
4. None of these

Answer

(A) ye ^ 2 x =2 x + c

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