Solving equation with two solutions

11 vues (au cours des 30 derniers jours)
renee
renee le 27 Déc 2022
Commenté : Torsten le 27 Déc 2022
I would like to solve for example the equation m*exp(-x m^2/2)=0.2. When you plot this function it should become clear that this has two real solutions, but MATLAB only gives the smallest solution, whereas I need the larger one. Can anyone help me to get the solution for this? I tried adding the inequality M>1 for obtaining the larger value but this has unfortunatly no result.
syms r M;
assume(M,'real')
F = [M*exp(-M^2/2)==0.2, M>1];
solve(F, M)
Thanks a lot!

Réponses (1)

Torsten
Torsten le 27 Déc 2022
Modifié(e) : Torsten le 27 Déc 2022
syms M
F = M*exp(-M^2/2)==0.2;
vpasolve(F, [1 Inf])
ans = 
2.1872798705256122911063716969905
  2 commentaires
renee
renee le 27 Déc 2022
thank you so much! Do you know what I should do to get the analytical largest solution, e.g. for
F = M*exp(-M^2/2)==1/r?

Connectez-vous pour commenter.

Catégories

En savoir plus sur Mathematics dans Help Center et File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by