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AP EAMCET202318 May 2023Morning ShiftMathematicsDifferential EquationsActual

If y is an integrating factor of d x d y +P(y) x=Q(y) , then P ( y )=

Options

  1. A1 y+ y
  2. By y
  3. Cy y
  4. D1 y y

Correct answer

D. 1 y y

Step-by-step solution

I. F= y aligned & e^ P(y) d y = y & P(y) d y= ( y) aligned Differentiating both sides, we get aligned & P(y)= 1 y 1 y & P(y)= 1 y y aligned

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