defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Equations Solution of Differential Equations
Let x = x(y) be the solution of the differential equation y2dx + \(\left(x-\frac{1}{y}\right)\)dy = 0. If x(1) = 1, then x\(\left(\frac{1}{2}\right)\) is:
1
\(\frac{1}{2}\) + e
2
\(\frac{3}{2}\) + e
3
3 - e
4
3 + e