First-Order ODE Flashcards

(10 cards)

1
Q

is the largest derivative present in the differential equation.

A

order

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2
Q

Contains at least one partial derivative of some dependent variable.

A

Partial Differential Equation (PDE)

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3
Q

A differential equation for a function of a single variable.

A

Ordinary Differential Equation (ODE)

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4
Q

is the exponent of the highest order derivative when the equation satisfies specific conditions

A

degree

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5
Q

Non-empty set of solutions specified by an expression which contains at least one parameter. It contains arbitrary constant C

A

general solution

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6
Q

a first-order ordinary differential equation that is algebraically reducible to a standard differential form in which each of the nonzero terms contains exactly one variable

A

separable ODE

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7
Q

Each individual solution of a differential equation. It does not contain arbitrary constant

A

particular solution

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8
Q

does not depend on whether the function is an ordinary or partial derivatives

A

order

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9
Q

It is a mathematical equation that relates some function with its derivatives

A

differential equation

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10
Q

It is any equation which contains derivatives, either ordinary derivatives or partial derivatives

A

differential equation

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