My function is as follows:
Since it does not generate an analytical solution, I tried to do a simulation exercise as follows.
Simulation values: $a=-2$, $b=3$, $c=5$, $g=3.5$.
And for $0\leqslant d\leqslant 1$ and $0\leqslant e\leqslant 1$, among five different solutions, I would like to pick the one that is real and positive, and
3DPlot it against $d$ and $e$.
My Mathematica code is as follows:
And the result I get is this:
Any help would be greatly appreciated!