Solving equation with two solutions

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renee
renee 2022-12-27
评论： Torsten 2022-12-27
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!

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回答（1 个）

Torsten
Torsten 2022-12-27
编辑：Torsten 2022-12-27
Ran in:
syms M
F = M*exp(-M^2/2)==0.2;
vpasolve(F, [1 Inf])
ans = 
2.1872798705256122911063716969905

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