PG entrance exam IIT JAM 2025 Mock Test Engineering Mathematics Differential Equations Exact Differential Equations
For the exact differential equation,
\(\frac{du}{dx}=\frac{-xu^2}{2+x^2u}\)
which one of the following is the solution?
1
u2 + 2x2 = constant
2
xu2 + u = constant
3
\(\frac{1}{2}x^2u^2+2u\) = constant
4
\(\frac{1}{2}ux^2+2u\) = constant