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How can I get a general solution to the following ode? dsolve command in Wolfram Mathematica and Maple don't return any result enter image description here

DSolve[((5 (-10 + 3 E^(t \[Alpha])) \[Alpha]^2)/(
      9 (-1 + E^(t \[Alpha]))^2) + (
      E^(2 t \[Alpha]) (-1 + E^(-t \[Alpha]))^(
       1/3) \[CapitalOmega]^2)/((-1 + E^(t \[Alpha]))^2 
\!\(\*SubsuperscriptBox[\(a\), \(0\), \(2\)]\))) T[t] - (
   5 E^(-t \[Alpha]) \[Alpha] T'[t])/(
   2 (-1 + E^(-t \[Alpha]))) + T''[t] == 0, {T[t], 
  T[t]}, {t}]

Thanks for your time.

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    $\begingroup$ Change (T^\[Prime]\[Prime])[t] to T''[t]- But ode can't be solved analytically. I also tried transformation T[t]==F[u=Exp[\[Alpha]t] but it remains unsolvable. $\endgroup$
    – Ulrich Neumann
    Jun 17, 2022 at 11:16
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    $\begingroup$ The sub t -> -(Log[1 + v^3]/\[Alpha]) turns the DE into a holonomic one that yields a DifferentialRoot solution, probably with branch-cut/singularity issues, which I could not resolve because I couldn't get the solution to evaluate. $\endgroup$
    – Michael E2
    Jun 17, 2022 at 14:34

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