plot analytical solution with two solutions

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renee
renee 2022-12-27
回答： Tattersall 2022-12-28
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!

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回答（1 个）

Tattersall
Tattersall 2022-12-28
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

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