plot analytical solution with two solutions

I would like to plot the solution (x,y) of the equation

F = y*exp(-y^2/2)==1/x;

only this has two solutions, a smaller and a larger one. Is it possible to choose one of the solutions (the smaller one), using for example 'solve' and plot it? Thus what I mean is: how to plot the solutions of the system of equations

F = y*exp(-y^2/2)==1/x; with y>1 or y<1

both represent 1 solution.

And how to plot the smaller one until x=1 and herafter plot the larger one?

Thanks!

Answer 1

[Tattersall]

I would use the fplot command. The documentation can be found here.

For your example, a solution could be

f = @(y) y*exp(-y^2/2);

ymin = 1;

ymax = 100;

figure;

fplot(f,[ymin ymax]); % ymin and ymax intervals for a solution