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- Characteristic_equation_(calculus) abstract "In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree on which depends the solutions of a given th-order differential equation. The characteristic equation can only be formed when the differential equation is linear, homogeneous, and has constant coefficients. Such a differential equation, with as the dependent variable and as constants,will have a characteristic equation of the formwhere are the roots from which the general solution can be formed. This method of integrating linear ordinary differential equations with constant coefficients was discovered by Leonhard Euler, who found that the solutions depended on an algebraic 'characteristic' equation. The qualities of the Euler's characteristic equation were later considered in greater detail by French mathematicians Augustin-Louis Cauchy and Gaspard Monge.".
- Characteristic_equation_(calculus) wikiPageID "31050469".
- Characteristic_equation_(calculus) wikiPageRevisionID "605430256".
- Characteristic_equation_(calculus) hasPhotoCollection Characteristic_equation_(calculus).
- Characteristic_equation_(calculus) subject Category:Ordinary_differential_equations.
- Characteristic_equation_(calculus) type Abstraction100002137.
- Characteristic_equation_(calculus) type Communication100033020.
- Characteristic_equation_(calculus) type DifferentialEquation106670521.
- Characteristic_equation_(calculus) type Equation106669864.
- Characteristic_equation_(calculus) type MathematicalStatement106732169.
- Characteristic_equation_(calculus) type Message106598915.
- Characteristic_equation_(calculus) type OrdinaryDifferentialEquations.
- Characteristic_equation_(calculus) type Statement106722453.
- Characteristic_equation_(calculus) comment "In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree on which depends the solutions of a given th-order differential equation. The characteristic equation can only be formed when the differential equation is linear, homogeneous, and has constant coefficients.".
- Characteristic_equation_(calculus) label "Characteristic equation (calculus)".
- Characteristic_equation_(calculus) label "Charakteristische Gleichung".
- Characteristic_equation_(calculus) label "Równanie charakterystyczne".
- Characteristic_equation_(calculus) label "Équation caractéristique".
- Characteristic_equation_(calculus) sameAs Charakteristická_rovnice.
- Characteristic_equation_(calculus) sameAs Charakteristische_Gleichung.
- Characteristic_equation_(calculus) sameAs Équation_caractéristique.
- Characteristic_equation_(calculus) sameAs Równanie_charakterystyczne.
- Characteristic_equation_(calculus) sameAs m.0gg49k2.
- Characteristic_equation_(calculus) sameAs Q1062971.
- Characteristic_equation_(calculus) sameAs Q1062971.
- Characteristic_equation_(calculus) sameAs Characteristic_equation_(calculus).
- Characteristic_equation_(calculus) wasDerivedFrom Characteristic_equation_(calculus)?oldid=605430256.
- Characteristic_equation_(calculus) isPrimaryTopicOf Characteristic_equation_(calculus).