differential equation

English

Etymology

First appears c. 1704 in the publications of Charles Hayes. Calque of Latin aequatio differentialis, which was coined by Leibniz in 1676.

Noun

differential equation (plural differential equations)

Examples
${\frac {dP}{dt}}=kP+1000$

1. (calculus) An equation involving the derivatives of a function.

Derived terms

Derived terms

• DE
• delay differential equation
• diff EQ
• ordinary differential equation (ODE)
• partial differential equation (PDE)
• stochastic differential equation

Translations

equation involving the derivatives of a function

• Catalan: equació diferencial f
• Chinese:

  Mandarin: 微分方程 (zh) (wéifēn fāngchéng), 微分方程式 (zh) (wéifēn fāngchéngshì)

• Czech: diferenciální rovnice f
• Danish: differentialligning c
• Dutch: differentiaalvergelijking (nl)
• Esperanto: diferenciala ekvacio
• Finnish: differentiaaliyhtälö (fi)
• French: équation différentielle (fr) f
• German: Differentialgleichung (de) f
• Hungarian: differenciálegyenlet (hu)
• Italian: equazione differenziale f
• Japanese: 微分方程式 (ja) (bibun hōteishiki)
• Latin: aequātiō differentiālis f
• Macedonian: диференција́лна ра́венка f (diferencijálna rávenka)
• Norwegian:

  Bokmål: differensialligning f or m, differensiallikning f or m

  Nynorsk: differensiallikning f

• Polish: równanie różniczkowe n
• Portuguese: equação diferencial f
• Romanian: ecuație diferențială (ro) f
• Russian: дифференциа́льное уравне́ние n (differenciálʹnoje uravnénije)
• Serbo-Croatian: diferencijalna jednadžba f, диференцијална једнаџба f
• Spanish: ecuación diferencial (es) f
• Swedish: differentialekvation (sv) c
• Tagalog: tingiring tumbasan
• Thai: สมการเชิงอนุพันธ์
• Turkish: diferansiyel denklem (tr)
• Vietnamese: phương trình vi phân