An integrating factor of the differential equation x d y d x +y x=x e^ x x^ - 1 2 x , (x…
Mathematics · JEE Main · NTA Exams — Differential Equations
An integrating factor of the differential equation \(x \frac{d y}{d x}+y \log x=x e^{x} x^{-\frac{1}{2} \log x}\), (x > 0) is,
- \(x^{\operatorname{lng} x}\)
- \([\sqrt{x}]^{\operatorname{lng} x}\)
- \((\sqrt{e})^{[\ln g x]^{2}}\)
- \(e^{x^{2}}\)
Answer
(A) x^ lng x
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