The solution of the differential equation d y d x = x+y x satisfying the condition y (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 = x log x + x
  2. y = log x + x
  3. y = x log x + x2
  4. y = xe(x – 1)

Answer

(A) y = x log x + x

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