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单词 differential equation
释义
differential equation
noun[C]
mathematicsspecialized
uk
/dɪf.əˌren.ʃəl ɪˈkweɪ.ʒən/us
/dɪf.əˌren.ʃəl ɪˈkweɪ.ʒən/
anequation(= amathematicalstatement)thatexpressesarelationshipbetween afunction(= achangingmathematicalvalue)and one or more ofitsderivatives(=measuresof therateat which afunctionischanging):
Theywroteatextbookondifferentialequations.
Solve thefollowingdifferentialequation.
More examples
  • Use thedifferentialequationto show that thisvalueof y is astationaryvalue.
  • Topicstaughton thecourseincludeintegration,differentialequations, andlinearalgebra.
  • Once thedifferentialequationhas beensolved,experimentaldatacan be used tofindvaluesfor theconstants.
  • Engineeringmodelsusedifferentialequationstopredictthebehaviourofphysicalsystems.
SMART Vocabulary: related words and phrases
Numerical relationships
  • absolute maximum
  • absolute minimum
  • arithmetic progression
  • cardinality
  • decreasing
  • differential
  • disproportionate
  • intersect
  • inverse function
  • inverse proportion
  • linear
  • linearly
  • monotonic
  • percent
  • percentage
  • prorated
  • quantile
  • ratio
  • recursion
  • trinomial
See more results »
(Definition ofdifferential equationfrom theCambridge Advanced Learner's Dictionary & Thesaurus© Cambridge University Press)

Examplesofdifferential equation

differential equation
As with the ordinarydifferentialequationanalogue, a series solution can be found for the problem and this eases the analysis in some cases.
From theCambridge English Corpus
A detailed study of the non-linear ordinarydifferentialequationgoverning the leading singularity and the solution of this equation are the subject of $3.
From theCambridge English Corpus
The qualitative model of a system takes the form of a qualitativedifferentialequation, an abstraction of a class of ordinary differential equations.
From theCambridge English Corpus
It is an ordinarydifferentialequation, since it contains the time t as a parameter.
From theCambridge English Corpus
Thedifferentialequationfor beamwidth parameter of rippled laser beam is evaluated.
From theCambridge English Corpus
This paper continues the approach of the second author, of analysing algorithms on random structures using adifferentialequationmethod.
From theCambridge English Corpus
The two main problems to be faced when designing a finite-difference scheme for a partialdifferentialequationare: numerical losses and numerical dispersion.
From theCambridge English Corpus
Due to this linearity, the parameters of the deriveddifferentialequationcan be estimated easily by an adaptive system.
From theCambridge English Corpus
Onedimensional results were checked, verifying that the analytic solution of thedifferentialequation exactly matched that obtained numerically from the integral equation.
From theCambridge English Corpus
Therefore, v satisfies thedifferentialequation(4.25)1 in distributional sense.
From theCambridge English Corpus
The pressure is eliminated from the radial and axial momentum equations to yield a third-order non-linear partialdifferentialequationfor the stream function.
From theCambridge English Corpus
In the seconddifferentialequationfor infected animals, the positive terms are : births of infected offspring, horizontal infections, spontaneous infections and feed-mediated infections.
From theCambridge English Corpus
This remark is used to express the friction coefficient in the form of a linear nonhomogenousdifferentialequation.
From theCambridge English Corpus
This could be described by use of thedifferentialequationfor epidemic spread, that is equation (4), and disregarding the chain binomial model.
From theCambridge English Corpus
This method approximates thedifferentialequationby an explicit finitedifference scheme using three time levels.
From theCambridge English Corpus
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
#https://dictionary.cambridge.org//dictionary/english/differential-equation##
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更新时间：2024/12/28 4:27:42