ODE trends in computer algebra: Four linear and nonlinear challenges
نویسنده
چکیده
This paper discusses possible solving strategies regarding four ODE problems, all relevant and currently out of the scope of the Maple ODE solver. The problems are: 1. Transformations linearizing non-linear first order ODEs 2. Non-linear 2nd order ODEs for which point symmetries are of no use 3. Hypergeometric solutions for 2nd order linear ODEs 4. Solutions for third and higher order linear ODEs with coefficients possibly non-rational
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