If y(t) is a solution of the differential equation (1+t) d y d t -t y=1 and y(0)=-1 …

Mathematics · JEE Main · NTA ExamsDifferential Equations

If y(t) is a solution of the differential equation \((1+t) \frac{d y}{d t}-t y=1\) and \(y(0)=-1\), then y(1) is equal to
  1. \(-\frac{1}{2}\)
  2. \(e+\frac{1}{2}\)
  3. \(e-\frac{1}{2}\)
  4. \(\frac{1}{2}\)

Answer

(C) e- 1 2

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