The differential equation which represents the family of curves y = c _ 1 e ^ c _ 2 x…

Mathematics · JEE Main · NTA ExamsDifferential Equations

The differential equation which represents the family of curves \(\mathrm{y}=\mathrm{c}_{1} \mathrm{e}^{\mathrm{c}_{2} \mathrm{x}}\)where c1 and c2 are arbitrary constants is
  1. y’ = y2
  2. y’’ = y’ y
  3. yy’’ = y’
  4. yy’’ = (y’)2

Answer

(D) yy’’ = (y’) 2

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