The differential equation which represents the family of curves y = c _ 1 e ^ c _ 2 x…
Mathematics · JEE Main · NTA Exams — Differential 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
- y’ = y2
- y’’ = y’ y
- yy’’ = y’
- yy’’ = (y’)2
Answer
(D) yy’’ = (y’) 2
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