I've to solve this differential equation but I don't know how to do it. Someone can help me?
$\frac{dy}{dx} = \frac{1}{x} \Bigg( -1 - \frac{2a}{\sqrt{a^2 - 3x L f^2 e^{3y}}} \Bigg)$
where a, L and f are costant.
I've tried to solve it in Mathematica with DSolve in this way:
DSolve[1/x (-1 - (2 a/Sqrt[a^2 - 3 x L f^2 Exp[3 y[x]]])) == y'[x],
y[x], x]
Thanks everyone.
y[x]->Log[Root[...]]
$\endgroup$a = 1; f = 1; L = 1; DSolve[ 1/x (-1 - (2 a/Sqrt[a^2 - 3 x L f^2 Exp[3 y[x]]])) == y'[x], y[x], x]
produces a useless output. TryParametricNDSolve
. $\endgroup$