Dalambertian solutions to linear ODEs

✍ Scribed by Abramov, Petkovsek.

• Book ID: 127401229
• Tongue: English
• Weight: 127 KB
• Category: Library

✦ Synopsis

D'Alembertian solutions of differential (resp. difference) equations are those expressible as nested indefinite integrals (resp. sums) of hyperexponential functions. They are a subclass of Liouvillian solutions, and can be constructed by recursively finding hyperexponential solutions and reducing the order. Knowing d'Alembertian solutions of Ly = 0, one can write down the corresponding solutions of Ly = f and of L*y = 0.