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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 10,335 of 10,432   
   Mild Shock to All   
   CAS that can show me a trend [ODE Soluti   
   20 Oct 23 22:56:12   
   
   From: janburse@fastmail.fm   
      
   1) Here Wolfram Alpha can show me a trend:   
   Problem:   
   y' = cos(t) * (2 + cos(t)) / 100   
   Solution:   
   y(t) = c_1 + t/200 + sin(t)/50 + 1/200 sin(t) cos(t)   
      
   The trend is the linear non-periodic part t/200.   
      
   2) But here Wolfram Alpha fails to show me a trend:   
   Problem (real valued root):   
   y' = cos(t)^(1/3) * (2 + cos(t)) / 100   
   Solution:   
   y(t) = c_1   
   - 3/200 sqrt(sin^2(t)) cos(t)^(1/3) cot(t)   
      2F1(1/2, 2/3, 5/3, cos^2(t))   
   - 3/700 sqrt(sin^2(t)) cos(t) cos(t)^(1/3) cot(t)   
      2F1(1/2, 7/6, 13/6, cos^2(t))   
      
   Doesn't show me a linear non-period part,   
   but I guess it has one.   
      
   Any CAS around that can show me a trend?   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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