Differential compounded generators are used in Ward Lenard motor generator loops. The shunt fields on these generators are separately excited and when the shunt field polarity is reversed by the controller the series field helps drive the generator voltage to zero thus aiding in the reversal of current.
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Carbon dating would be one thing...
A differential equation is a measure of change. If differencing with respect to time, it is the rate of change. Location, when differentiated, gives velocity. Velocity, when differentiated, gives acceleration. There are significant applications across all aspects of science.
All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.
If you are a scientist, engineer or mathematician, there are too many examples to list. If you aren't, then there are basically none, except in finance.
There is no application of differential equation in computer science
Herman Betz has written: 'Differential equations with applications' -- subject(s): Differential equations
Many real world problems can be represented by first order differential equation. Some applications of differential equation are radio-active decay and carbon dating, population growth and decay, warming/cooling law and draining a tank.
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A. Unterberger has written: 'Pseudo-differential operators and applications'
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Zeev Schuss has written: 'Theory and applications of stochastic differential equations' -- subject(s): Stochastic differential equations
Carbon dating would be one thing...
Applications of ordinary differential equations are commonly used in the engineering field. The equation is used to find the relationship between the various parts of a bridge, as seen in the Euler-Bernoulli Beam Theory.
Jianhong Wu has written: 'Theory and applications of partial functional differential equations' -- subject(s): Functional differential equations
appplications of compound shaft
Kent Franklin Carlson has written: 'Applications of matrix theory to systems of linear differential equations' -- subject(s): Differential equations, Linear, Linear Differential equations, Matrices