MATLAB: 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

#trigonometric equation

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

Best Answer

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

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MATLAB: Please answer

That function appears to be part of a user contribution. Please see http://www.mathworks.com/matlabcentral/fileexchange/4456-electromagnetic-waves-antennas-toolbox

MATLAB: How to get the intersection points of a line and a curve which was fit to data

one way with Curve Fitting Toolbox

array=[515 525 561 600 632 700 761 800 900 1000 1014 1750;
         0 150 300 394 450 540 600 631 696  745  750  865];
x = array([2 1],:)';
f = fit(x(:,1),x(:,2),'cubicinterp');
df = fit(x(:,1),differentiate(f,x(:,1)),'cubicinterp');
xx = fzero(@(x)f(x)/x - df(x),[1 750]);
x1 = linspace(x(1,1),x(end,1),300);
plot(x1,f(x1),x1,x1*df(xx),xx,f(xx),'ro');

well, more

f = fit(x(:,1),x(:,2),'cubicinterp');
df = fit(x(:,1),differentiate(f,x(:,1)),'cubicinterp');
k = tand(10);
xx = fzero(@(x)df(x) - k,[1 x(end,1)]);

you line: y = k*x + b

b = f(xx) - k*xx;
x1 = linspace(x(1,1),x(end,1),300);
plot(x1,f(x1),x1,k*x1 + b,xx,f(xx),'ro');

Best Answer

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MATLAB: Please answer

MATLAB: How to get the intersection points of a line and a curve which was fit to data

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