The differential equation satisfied by the system of parabolas y= 4a(x + a) is :

1
\(y{\left( {\frac{{dy}}{{dx}}} \right)^2} + 2x\left( {\frac{{dy}}{{dx}}} \right) - y = 0\)
2
\(y{\left( {\frac{{dy}}{{dx}}} \right)} + 2x\left( {\frac{{dy}}{{dx}}} \right) - y = 0\)
3
\(y{\left( {\frac{{dy}}{{dx}}} \right)^2} - 2x\left( {\frac{{dy}}{{dx}}} \right) + y = 0\)
4
More than one of the above
5
None of the above

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