defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Equations Formation of a Differential Equation
The differential equation satisfied by the system of parabolas y2 = 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
\(y{\left( {\frac{{dy}}{{dx}}} \right)^2} - 2x\left( {\frac{{dy}}{{dx}}} \right) - y = 0\)