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1.2: Basic Concepts
https://math.libretexts.org/Under_Construction/Purgatory/Differential_Equations_and_Linear_Algebra_(Zook)/01%3A_What_are_Differential_Equations/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.2: Basic Concepts
https://math.libretexts.org/Courses/Mission_College/Math_4B%3A_Differential_Equations_(Kravets)/01%3A_Introduction/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.2: Basic Concepts
https://math.libretexts.org/Courses/Mission_College/Math_4B%3A_Differential_Equations_(Reed)/01%3A_Introduction/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
7.2: Basic Concepts
https://math.libretexts.org/Courses/Reedley_College/Differential_Equations_and_Linear_Algebra_(Zook)/07%3A_What_are_Differential_Equations/7.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.3: Basic Concepts
https://math.libretexts.org/Courses/Chabot_College/Math_4%3A_Differential_Equations_(Dinh)/01%3A_Introduction/1.03%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.2: Basic Concepts
https://math.libretexts.org/Courses/Monroe_Community_College/MTH_225_Differential_Equations/01%3A_Introduction/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.1: Basic Concepts
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_420%3A_Differential_Equations_(Breitenbach)/01%3A_Introduction/1.01%3A_Basic_Concepts
Figure 1.1.2 shows the graph of Equation $\ref{eq:1.2.5}$ . The part of the graph of Equation $\ref{eq:1.2.5}$ on $(0,\infty)$ is a solution curve of Equation $\ref{eq:1.2.6}$ , as is the part of the graph ...Figure 1.1.2 shows the graph of Equation $\ref{eq:1.2.5}$ . The part of the graph of Equation $\ref{eq:1.2.5}$ on $(0,\infty)$ is a solution curve of Equation $\ref{eq:1.2.6}$ , as is the part of the graph on $(-\infty,0)$ . Consistent with our earlier definition of a solution of the differential equation in Equation $\ref{eq:1.2.12}$ , we say that $y$ is a solution of the initial value problem Equation $\ref{eq:1.2.12}$ if $y$ is $n$ times differentiable and
1.2: Basic Concepts
https://math.libretexts.org/Courses/Community_College_of_Denver/MAT_2562_Differential_Equations_with_Linear_Algebra/01%3A_Introduction/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.
1.2: Basic Concepts
https://math.libretexts.org/Courses/Red_Rocks_Community_College/MAT_2561_Differential_Equations_with_Engineering_Applications/01%3A_Introduction/1.02%3A_Basic_Concepts
A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A dif...A differential equation is an equation that contains one or more derivatives of an unknown function. The order of a differential equation is the order of the highest derivative that it contains. A differential equation is an ordinary differential equation if it involves an unknown function of only one variable, or a partial differential equation if it involves partial derivatives of a function of more than one variable. This section introduces basic concepts and definitions.

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