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{{: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), x, r) = 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**. |

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