Consider a system of differential equations:
$$ \frac{{{\text{d}}x_{1} }}{{{\text{d}}t}} = X_{1} ,\quad \frac{{{\text{d}}x_{2} }}{{{\text{d}}t}} = X_{2} ,\ldots \frac{{{\text{d}}x_{n} }}{{{\text{d}}t}} = X_{n} , $$
(1)
where \( t \) represents the independent variable that we will call time and \( x_{1} ,x_{2} ,\; \ldots x_{n} \) the unknown functions, where \( X_{1} ,X_{2} , \ldots \,X_{n} \) are given functions of \( x_{1} ,x_{2} , \ldots \,x_{n} \). We suppose in general that the functions \( X_{1} ,X_{2} , \ldots \,X_{n} \) are analytic and one-to-one for all real values of \( x_{1} ,x_{2} , \ldots \,x_{n} \).
Keywords
- Singular Point
- Constant Coefficient
- Convex Polygon
- Angular Variable
- Specific Solution
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