defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Equations Solution of Differential Equations
Let y = y(x) be the solution of the differential equation
\(\left(x y-5 x^{2} √{1+x^{2}}\right) d x+\left(1+x^{2}\right) d y=0\), y(0) = 0.
Then y(√3) is equal to
1
\(\frac{5 \sqrt{3}}{2}\)
2
\(\sqrt{\frac{14}{3}}\)
3
2√2
4
\(\sqrt{\frac{15}{2}}\)