General Solution to ODE System [closed]
 
  
 
  
 
 
 
 
 
 
    
        
        asked 2 years ago  
 
 Jack Zuffante gravatar image  
 
 
 
 
 
diff(p(x), x, x) == 5p(x)/(5p(x)^2 + 4*t(x)^2),
 
diff(t(x), x, x) == -4t(x)/(5p(x)^2 + 4*t(x)^2),
 
diff(t(x), x) == 1/(5p(x)^2 + 4t(x)^2) + diff(p(x), x)
 
Can SageMath find a general solution between t and x based on this system of ODEs?
 
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Closed for the following reason
      duplicate question by
      Emmanuel Charpentier 

      close date 2023-02-15 09:35:26.744327
 
 
Comments
Homework ?
Emmanuel Charpentier gravatar imageEmmanuel Charpentier (
    
        2 years ago
    )
Unless I'm mistaken in correcting your syntax, this the same system you alreadu exposed here.
Did you try desolve_system ?
Emmanuel Charpentier gravatar imageEmmanuel Charpentier (
    
        2 years ago
    )
I did not try that yet. I just wasn't sure if that would work. Also I'm not sure of the best way to set up the variables and functions before doing that.
Jack Zuffante gravatar imageJack Zuffante (
    
        2 years ago
    )
Also the Sage documentation indicates that desolve_system is for first order, but maybe it could still work.
Jack Zuffante gravatar imageJack Zuffante (
    
        2 years ago
    )
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