# ch01_3 - Ch 1.3 Classification of Differential Equations...

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Ch 1.3: Classification of Differential Equations The main purpose of this course is to discuss properties of solutions of differential equations, and to present methods of finding solutions or approximating them. To provide a framework for this discussion, in this section we give several ways of classifying differential equations.

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Ordinary Differential Equations When the unknown function depends on a single independent variable, only ordinary derivatives appear in the equation. In this case the equation is said to be an ordinary differential equations (ODE). The equations discussed in the preceding two sections are ordinary differential equations. For example, 450 5 . 0 , 2 . 0 8 . 9 - = - = p dt dp v dt dv
When the unknown function depends on several independent variables, partial derivatives appear in the equation. In this case the equation is said to be a partial differential equation (PDE). Examples:

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ch01_3 - Ch 1.3 Classification of Differential Equations...

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