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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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