defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Equations Formation of a Differential Equation
निम्न में से कौन सा अवकल समीकरण परवलयों के निकाय y2 = 4a(x + a) द्वारा संतुष्ट होता है?
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
\(y{\left( {\frac{{dy}}{{dx}}} \right)^2} - 2x\left( {\frac{{dy}}{{dx}}} \right) - y = 0 \)