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Differential Equations

# What is the application of the ordinary differential equation?

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## Related Questions

###### Asked in Math and Arithmetic, Differential Equations

### What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent
variable and partial differential equation is obtained more than
one variable.
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### What is the use of differential equation in computer science engineering?

There is no application of differential equation in computer
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### Example of total partial and original differential equation?

An ordinary differential equation (ODE) has only derivatives of
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### What is nonlinear ordinary differential equation?

An ordinary differential equation is an equation relating the
derivatives of a function to the function and the variable being
differentiated against. For example, dy/dx=y+x would be an ordinary
differential equation. This is as opposed to a partial differential
equation which relates the partial derivatives of a function to the
partial variables such as dÂ²u/dxÂ²=-dÂ²u/dtÂ².
In a linear ordinary differential equation, the various
derivatives never get multiplied together, but they can get
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### What is the difference between fuzzy differential equation and ordinary differential equation?

fuzzy differential equation (FDEs) taken account the information
about the behavior of a dynamical system which is uncertainty in
order to obtain a more realistic and flexible model. So, we have r
as the fuzzy number in the equation whereas ordinary differential
equations do not have the fuzzy number.
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### Application of differential equation in chemistry?

The rate at which a chemical process occurs is usually best
described as a differential equation.
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### What is Exact ordinary differential equation?

exact differential equation, is a type of differential equation
that can be solved directly with out the use of any other special
techniques in the subject. A first order differential equation is
called exact differential equation ,if it is the result of a simple
differentiation. A exact differential equation the general form
P(x,y) y'+Q(x,y)=0
Differential equation is a mathematical equation. These equation
have some fractions and variables with its derivatives.
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### What is the global solution of an ordinary differential equation?

The global solution of an ordinary differential equation (ODE)
is a solution of which there are no extensions; i.e. you can't add
a solution to the global solution to make it more general, the
global solution is as general as it gets.
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### In mathematics what does the abbreviation PDE stand for?

The abbreviation PDE stands for partial differential equation.
This is different from an ordinary differential equation in that it
contains multivariable functions rather than single variables.
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### Application of differential equation in temperature?

Newton's equation of cooling is a differential equation. If K is
the temperature of a body at time t, then dK/dt = -r*(K - Kamb)
where Kamb is the temperature of the surrounding, and r is a
positive constant.
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### What are the Uses of Cauchy Euler equation?

One thing about math is that sometimes the challenge of solving
a difficult problem is more rewarding than even it's application to
the "real" world. And the applications lead to other applications
and new problems come up with other interesting solutions and on
and on...
But...
The Cauchy-Euler equation comes up a lot when you try to solve
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differential equation, but more complex partial differential
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### Applications of ordinary differential equations in engineering field?

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.
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### What is the local solution of an ordinary differential equation?

The local solution of an ordinary differential equation (ODE) is
the solution you get at a specific point of the function involved
in the differential equation. One can Taylor expand the function at
this point, turning non-linear ODEs into linear ones, if needed, to
find the behavior of the solution around that one specific point.
Of course, a local solution tells you very little about the ODE's
global solution, but sometimes you don't want to know that
anyways.
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###### Asked in Math and Arithmetic, Differential Equations

### What is an ordinary differential equation?

It is one in which there is only one independent variable, ie
there are no partial derivatives.
For example, (dy/dx) + 2y = cosx + x
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###### Asked in Math and Arithmetic, Differential Equations

### What is the Order of a differential equation?

The order of a differential equation is a highest order of
derivative in a differential equation.
For example, let us assume a differential expression like
this.
d2y/dx2 + (dy/dx)3 + 8 = 0
In this differential equation, we are seeing highest derivative
(d2y/dx2) and also seeing the highest power i.e 3 but it is power
of lower derivative dy/dx.
According to the definition of differential equation, we should
not consider highest power as order but should consider the highest
derivative's power i.e 2 as order...

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###### Asked in Mathematical Analysis, Differential Equations

### What is differential equation in mathematics?

An equation in terms of functions and its nth-order derivatives.
For example, dy/dx = x^2 + y is a differential equation.
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### What has the author Witold Hurewicz written?

Witold Hurewicz has written:
'Lectures on Ordinary Differential Equations'
'Ordinary differential equations in the real domain with
emphasis on geometric methods' -- subject(s): Differential
equations
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###### Asked in Algebra, Differential Equations

### What is differential equations as it relates to algebra?

It is an equation in which one of the terms is the instantaneous
rate of change in one variable, with respect to another (ordinary
differential equation). Higher order differential equations could
contain rates of change in the rates of change (for example,
acceleration is the rate of change in the rate of change of
displacement with respect to time). There are also partial
differential equations in which the rates of change are given in
terms of two, or more, variables.
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###### Asked in Math and Arithmetic

### What is an equation that contains a variable?

It is an equation. It could be an algebraic equation, or a
trigonometric equation, a differential equation or whatever, but it
is still an equation.
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###### Asked in Differential Equations

### Who invented the ordinary differential equations?

Olusola Akinyele

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### Application of differential pair while routing?

i want exact meaning of differential pair(or)definition &
where its used ie.,(application) & advantage
&disadvantage.
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###### Asked in Algebra, Calculus, Differential Equations

### What is the general solution of a differential equation?

It is the solution of a differential equation without there
being any restrictions on the variables (No boundary conditions are
given). Presence of arbitrary constants indicates a general
solution, the number of arbitrary constants depending on the order
of the differential equation.
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###### Asked in Math and Arithmetic, Algebra, Calculus, Differential Equations

### Why you solve a differential equation for x?

In its normal form, you do not solve differential equation for
x, but for a function of x, usually denoted by y = f(x).
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### What is an Airy equation?

An Airy equation is an equation in mathematics, the simplest
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###### Asked in Algebra, Calculus, Differential Equations

### What is impulsive differential equation?

Differential equation is defined in the domain except at few
points (may be consider the time domain ti ) may be (finite or
countable) in the domain and a function or difference equation is
defined at each ti in the domain. So, differential equation with
the impulsive effects we call it as impulsive differential equation
(IDE). The solutions of the differential equation is continuous in
the domain. But the solutions of the IDE are piecewise continuous
in the domain. This is due...

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