Differential Equations · JEE Main previous year questions

2009 1 question

1. Q262009 · 27 Apr 2009 · Shift 1

   The differential equation which represents the family of curves $y=c_1{e}^{c_{2}x}$, where $c_1$, and $c_2$ are arbitrary constants, is

   1. A.$y^{\prime \prime }=y^{\prime }y$
   2. B.$y{y}^{\prime \prime }=y^{\prime }$
   3. C.$y{y}^{\prime \prime }=(y^{\prime }{)}^2$
   4. D.$y^{\prime }=y^2$
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   Answer: C