Lexic.us

Definition of Linear equation

1. Noun. A polynomial equation of the first degree.

Definition of Linear equation

1. Noun. (mathematics) A polynomial equation of the first degree (such as x = 2y - 7) ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Linear Equation

Literary usage of Linear equation

Below you will find example usage of this term as found in modern and/or classical literature:

1. Differential and Integral Calculus by Clyde Elton Love (1916)
"We have already (§ 203) defined the linear equation of the first order as an ... The homogeneous linear equation. A linear differential equation whose ..."

2. A Course in Mathematical Analysis by Édouard Goursat, Earle Raymond Hedrick (1917)
"From this it follows that the function Y represented by the definite integral (18) is a particular integral of the non-homogeneous linear equation. ..."

3. Higher Mathematics for Students of Chemistry and Physics: With Special by Joseph William Mellor (1902)
"If a particular solution of the linear equation is known, the order of the equation can be lowered by unity. This follows directly from the preceding result ..."

4. Theory of Differential Equations by Andrew Russell Forsyth (1906)
"It is natural to enquire whether, as the Lagrangian subsidiary equations for a single linear equation in a single dependent variable have thus been ..."

5. An Elementary Treatise on Differential Equations by Abraham Cohen (1906)
"Cauchy's linear equation. — The linear differential equation where the coefficient of —2- is a constant times x', is at once reduc- ax* ible by the ..."

6. A Treatise on Ordinary and Partial Differential Equations by William Woolsey Johnson (1902)
"We shall therefore consider only the case of the linear equation (and such as ... Since we know the form of the complete integral of a linear equation to be ..."

7. A Treatise on Differential Equations by George Boole (1877)
"It must be observed that the linear equation (21), when reduced to the form falls under the general type, ..."

8. An Elementary Course of Infinitesimal Calculus by Horace Lamb (1897)
"linear equation of the First Order, with Constant Coefficients. A ' linear ' equation is one which involves y and its derivatives only in the first degree. ..."

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