defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Equations Solution of Differential Equations
अंतर समीकरण \(\dfrac {dy}{dx} + \dfrac {y}{2} \sec x = \dfrac {\tan x}{2y}\) , जहाँ \(0 \leq x < \dfrac {\pi}{2}\) और \(y(0) = 1\) , का हल निम्न प्रकार दिया गया है:
1
\(y^{2} = 1 + \dfrac {x}{\sec x + \tan x}\)
2
\(y = 1 + \dfrac {x}{\sec x + \tan x}\)
3
\(y = 1 - \dfrac {x}{\sec x + \tan x}\)
4
\(y^{2} = 1 - \dfrac {x}{\sec x + \tan x}\)