DE

23問 • 2年前

ユーザ名非公開

通報

問題一覧

Is any equations which contains derivatives?

Differential equations

An equation that relates one or more unknown functions, and their derivatives

Differential equations

Generally represent physical quantities

Functions

Represent the rate of change

Derivatives

Place a prominent role in many discipline, including

Engineering physics, economics, and biology

It came into existence with the invention of calculus by

Isaac Newton, and Gottfried Leibniz

If this will work of Newton in 1671, where he listed three kinds of differential equations

Methodus Fluxionum et Serierum Infinitarum

Containing an unknown function of one Real or complex variable

Ordinary differential equation or ODE

The non-function is generally often denoted by y therefore depends on x

Ordinary differential equation or ODE

X is often called ______ of the equation

Independent variable

It is an equation that has more than one independent variable

Partial differential equation

A differential equation that contains a non-multi variable functions and a partial derivatives

Partial differential equation or PDE

Can be used to describe a wide variety of phenomena in nature, such a sound heat, electrostatics, electrodynamics, fluid flow, elasticity, and quantum mechanics

partial differential equation or PDE

It is the highest order of derivative of the unknown function that appears in the differential equation

Order of the differential equation

When it is written as a polynomial equation in the unknown function on the context, the polynomial degree in the highest derivative of unknown fiction, or its total degree in the higher derivative in the unknown function, and it’s derivative

Degree

is a solution containing the number of arbitrary constants equal to the order of the ODE

General solution

It is a solution obtained from the general solution by giving the particular values to the arbitrary constant

Particular solution

It’s a constant, whose value could be assumed to be anything just as long as it doesn’t depend on the variables in an equation or expressions

Arbitrary constants

The differential equations by means of separating variables

Separable equations

First order of ordinary differential equation is a parable, if the possible by elementary ______ to arrange the equation so that all dependent variables are on one side and all dependent variables are on the other side

Algebraic manipulation

The rate at which the substances changes is proportional to the quantity of substance present at any time

Law of growth and decay

Change of substance act with respect the time is proportionate to the quantity of substance present at any time

Law of growth and decay

Change of substance______, with respect to time is proportionate to the quantity of substance present at any time

Materials

Materials

Materials 1.2

Materials 1.2

Fluid Mech

Fluid Mech

Fluid Mech 1.2

Fluid Mech 1.2

ABE LAWS

ABE LAWS

ABE LAWS 2

ABE LAWS 2

ABE LAWS 3

ABE LAWS 3

Laws

Laws

casting

casting

finals

finals

surveying

surveying

PAES

PAES

PAES 1.2

PAES 1.2

PAES 1.3

PAES 1.3

add ons paes

add ons paes

TERMS

TERMS

MIDTERMS

MIDTERMS

MIDTERMS

MIDTERMS

PRECIPITATIO

PRECIPITATIO

ABE 512 (1)

ABE 512 (1)

REPORTS

REPORTS

PAES 302

PAES 302

PNS

PNS

BASIC COMPONENTS OF TRACTOR

ユーザ名非公開 · 100問 · 1年前

BASIC COMPONENTS OF TRACTOR

BASIC COMPONENT 2

BASIC COMPONENT 2

問題一覧

Is any equations which contains derivatives?

Differential equations

An equation that relates one or more unknown functions, and their derivatives

Differential equations

Generally represent physical quantities

Functions

Represent the rate of change

Derivatives

Place a prominent role in many discipline, including

Engineering physics, economics, and biology

It came into existence with the invention of calculus by

Isaac Newton, and Gottfried Leibniz

If this will work of Newton in 1671, where he listed three kinds of differential equations

Methodus Fluxionum et Serierum Infinitarum

Containing an unknown function of one Real or complex variable

Ordinary differential equation or ODE

The non-function is generally often denoted by y therefore depends on x

Ordinary differential equation or ODE

X is often called ______ of the equation

Independent variable

It is an equation that has more than one independent variable

Partial differential equation

A differential equation that contains a non-multi variable functions and a partial derivatives

Partial differential equation or PDE

Can be used to describe a wide variety of phenomena in nature, such a sound heat, electrostatics, electrodynamics, fluid flow, elasticity, and quantum mechanics

partial differential equation or PDE

It is the highest order of derivative of the unknown function that appears in the differential equation

Order of the differential equation

Degree

is a solution containing the number of arbitrary constants equal to the order of the ODE

General solution

It is a solution obtained from the general solution by giving the particular values to the arbitrary constant

Particular solution

It’s a constant, whose value could be assumed to be anything just as long as it doesn’t depend on the variables in an equation or expressions

Arbitrary constants

The differential equations by means of separating variables

Separable equations

Algebraic manipulation

The rate at which the substances changes is proportional to the quantity of substance present at any time

Law of growth and decay

Change of substance act with respect the time is proportionate to the quantity of substance present at any time

Law of growth and decay

Change of substance______, with respect to time is proportionate to the quantity of substance present at any time