| NOUN | a differential equation | differential equations |
NOUN article.ind sg | pl
4 translations
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Usage Examples English
- The solution to this differential equation contains two parts: the "transient" and the "steady-state".
- In 1714, Brook Taylor derived the fundamental frequency of a stretched vibrating string in terms of its tension and mass per unit length by solving a differential equation.
- Wilkes and Wheeler had used EDSAC to solve a differential equation relating to gene frequencies for him.
- (The relation is either a differential equation, difference equation or other time scale.) To determine the state for all future times requires iterating the relation many times—each advancing time a small step.
- in which he provided an incorrect derivation of the correct differential equation.
- A local conservation law is usually expressed mathematically as a continuity equation, a partial differential equation which gives a relation between the amount of the quantity and the "transport" of that quantity.
- Because this is a second-order linear differential equation, there must be two linearly independent solutions.
- The identity can be obtained by showing that both sides satisfy the differential equation [...].
- In differential equations, it is common to first find all complex roots [...] of the characteristic equation of a linear differential equation or equation system and then attempt to solve the system in terms of base functions of the form [...].
- More recently a new approach has emerged, using "D"-finite functions, which are the solutions of linear differential equations with polynomial coefficients.
- In pure mathematics, differential equations are studied from several different perspectives, mostly concerned with their solutions — the set of functions that satisfy the equation.
- The Laplace transform can also be used to solve differential equations and is used extensively in mechanical engineering and electrical engineering.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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