Euler's approximation for ODE
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I want want to use MATLAB to implement Euler’s method with each step size h= 0.2,0.1,0.05 for 0≤t≤1 and plot the results in a single figure.  I would like to also  solve the ODE and plot the exact solution in the same in compare the two. 
How do i fix this error: 
Error: File: M1.m Line: 5 Column: 7
Invalid use of operator.
euler is a function i wrote. 
f = @(t,y) t*y-y;
y0 = 0.5;
i = 0.2; 
for i >= 0.05  
    t = 0:i:25;
    [t,y1] = euler(f,t,y0);
    i=i/2 
    plot(t,y1)
end 
y2 = -1 ./ (t.^2/2 + 10);
plot(t,y2)
legend('Euler','Exact solution')
save(M1.fig)
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Respuestas (1)
  Lucademicus
      
 el 23 de Sept. de 2019
        
      Editada: Lucademicus
      
 el 23 de Sept. de 2019
  
      for i >= 0.05  
This is not the correct way to define a for-loop.
See the documentation for the correct syntax: https://mathworks.com/help/releases/R2018b/matlab/ref/for.html?searchHighlight=for&s_tid=doc_srchtitle
Also, with the error message MATLAB tries to point you in the right direction, by telling you 1) what is not working, 2) where it is not working. I would want to advise you to take a look at what line number (and column number) MATLAB mentions and then looking in the documentation regarding the code you're using on that line.
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