I solve this equation and only get one answer zero. how can I find more answers for x ? For example some other answers are 3.9887 ; 7.1025 ; 10.2340; 13.3701 . Thanks

syms x
solve (1-cos(x)*cosh(x)+2*x*(sin(x)*cosh(x)-cos(x)*sinh(x)),x)
ans=
0

Answer 1

[Andrei Bobrov]

F = @(x)1-cos(x)*cosh(x)+2*x*(sin(x)*cosh(x)-cos(x)*sinh(x));

x = (0:100)*pi;
for ii = numel(x)-1:-1:1
   r(ii,1) = fzero(F,[x(ii),x(ii+1)]); 
end

[ebrahimina]

Thank you so much, Andrei Bobrov. It works like a charm

[ebrahimina]

Do you know any commands or functions in MATLAB for solving a transcendental equation like this? or I have to write a program for solving this equation? beta1 and beta2 are constant.