# Differences

This shows you the differences between two versions of the page.

Link to this comparison view

eg [2015/09/26 16:52]
anna [Source]
eg [2019/06/19 09:52] (current)
anna [Source]
Line 55: Line 55:
{{:theta_form.mw|theta_form.mw}} - the Maple session file with an example of find formal, regular and Laurent solutions, when the system is given in the theta-notation. The system **L(y) = 0** is specified by a **θ**-equation with matrix coefficients:  {{:theta_form.mw|theta_form.mw}} - the Maple session file with an example of find formal, regular and Laurent solutions, when the system is given in the theta-notation. The system **L(y) = 0** is specified by a **θ**-equation with matrix coefficients:

-**A0.y(x) + A1.θ(y(x), x) + ... + Ar.θ(y(x), x\$r) = 0**+**A0.y(x) + A1.θ(y(x), x, 1) + ... + Ar.θ(y(x), xr) = 0**

where **A0**, **A1**, ..., **Ar** are matrices which elements are power series of **x**. One of possible form of them is **Sum(f(k)*x^k, k = 0 .. ∞)** where **f** is a Maple operator/procedure of an integer argument. It computes the coefficients of **x^k**.  where **A0**, **A1**, ..., **Ar** are matrices which elements are power series of **x**. One of possible form of them is **Sum(f(k)*x^k, k = 0 .. ∞)** where **f** is a Maple operator/procedure of an integer argument. It computes the coefficients of **x^k**.
eg.1443275566.txt.gz · Last modified: 2015/09/26 16:52 by anna

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial 3.0 Unported 