The solution of the differential equation y_ 1 +3 x y=x which passes through (0,4) is,

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of the differential equation \(y_{1}+3 x y=x\) which passes through \((0,4)\) is,
  1. \(y=1+11 e^{-\frac{3}{2} x^{2}}\)
  2. \(3 y=1+11 e^{\frac{-3}{2} x^{2}}\)
  3. \(3 y=1-11 e^{-\frac{3}{2} x^{2}}\)
  4. None of these

Answer

(B) 3 y=1+11 e^ -3 2 x^ 2

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