Progress in Symbolic Differential Equations

During this talk I will give an overview of recent developments, new features and improvements in Wolfram Language related to symbolic solutions of ordinary differential equations. I will begin by speaking about the recently introduced DSolve option IncludeSingularSolutions, which allows one to get the singular solutions of a nonlinear ODE together with the general solution. Next, the significant improvements in the method of undetermined coefficients will be discussed, which allows one to find fast and simple solutions for inhomogeneous linear ODEs with constant coefficients. Finally, in the last part of the talk I will speak about a new type of ODEs: fractional differential equations. Fractional differential equations are differential equations involving fractional order derivatives. These are generalizations of the ordinary differential equations that have attracted much attention and have been widely used in engineering, physics, chemistry, biology and other fields. I will demonstrate how to solve some linear fractional ODEs in Wolfram Language using DSolve and AsymptoticDSolveValue. I will end by discussing the updated tutorial on symbolic differential equation solving using DSolve.

[stealthyllama]

Any progress in DEs is exciting. Thanks for the talk