differential equation
4
7.4
- noun
- /ˌdɪfərˈɛnʃəl ɪˈkweɪʒən/
- Specialized
:
ecuación diferencial
- A differential equation is used to model how populations change over time.
- partial differential equation
- ordinary differential equation
- solve differential equations
So to start with, you have the idea that physics can be encoded in what we call differential equations.
- So to start with, you have the idea that physics can be encoded in what we call differential equations.
- What do I have to assume about the function F in order to know that there exists a solution to the differential equation DXDT equals F of X&T;?
- Whatever you know, control, understanding the motion of fluids, it's partial differential equations, etcetera.
- And I emphasize that because my personal experience in partial differential equations I found.
Examples
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An autoregressive model in continuous time can be described in an elegant way by a differential equation.
Academic text (2008) -
However, for certain types of pressure gradients in the flow, they reduce to a single ordinary differential equation.
Academic text (2005) -
So suppose I had a differential equation like this.
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Well, the function F is always the right hand side of the differential equation we were given.
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The general philosophy is that the differential equation looks like this.
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The problem that Jordan had in mind for me was to solve the differential equation.
Academic text (1999) -
There remains to be solved a set of ordinary differential equations that describe the chemical reactions in the gas.
Academic text (2011) -
Consider an iterative solution of a differential equation on a grid.
Academic text (1999) -
The UAV's rigid body motion is typically modeled using ordinary differential equations to represent the position and orientation of the vehicle.
Academic text (2011) -
As noted earlier, the boundary-layer equations, though simpler than Navier-Stokes, are still coupled, nonlinear partial differential equations.
Academic text (2005)
Surface Forms
Morphology
The meaning is directly compositional: 'differential' (relating to derivatives or rates of change) qualifies 'equation' (a mathematical equality), so together they denote an equation involving derivatives. This regular adjective + noun pattern is transparent and cross-linguistically common, so a B1 learner who knows the constituent meanings should be able to infer the MWE meaning.
Etymology
Differential equation comes from differential (a very small change) and equation ('a balance' between two things). It is a rule that links tiny changes in one thing to how that thing changes overall, so it tells you how something changes over time.