Solving equation with two solutions

11 views (last 30 days)
renee
renee on 27 Dec 2022
Commented: Torsten on 27 Dec 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!

Answers (1)

Torsten
Torsten on 27 Dec 2022
Edited: Torsten on 27 Dec 2022
syms M
F = M*exp(-M^2/2)==0.2;
vpasolve(F, [1 Inf])
ans = 
2.1872798705256122911063716969905
  2 Comments
renee
renee on 27 Dec 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?

Sign in to comment.

Categories

Find more on Mathematics in Help Center and File Exchange

Community Treasure Hunt

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

Start Hunting!