The solution of the differential equation d y d x = x+y x satisfying the condition y(1)=1…

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the differential equation \(\frac{d y}{d x}=\frac{x+y}{x}\) satisfying the condition \(y(1)=1\), is
  1. \(y=\log x+x\)
  2. \(y=\log x+x^{2}\)
  3. \(y=x^{|x-1|}\)
  4. \(y=x \log x+x\)

Answer

(D) y=x x+x

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