The differential equation which represents the family of curves y = c_{1}e^{c2x} where c_{1} and c_{2} are arbitrary constants, is

- yy'' = y'
- y'' = y'y
- y' = y
^{2} - yy'' = (y')
^{2}

**Answer**

y = c_{1}e^{c2x}

y' = c_{1}c_{2}e^{c2x}

y' = c_{2}y

y'' = c_{2}y'

**The correct option is D.**