S( t) = –16 t 2 + C 1 t + C 2 General solution of s”( t) = –32 The second-order differential equation s”( t) = –32 has the general solution The order of a differential equation is the order of the highest derivative for a differential equation.įor instance, y’ = 4 y is a first-order differential equation. There are two main types of differential equations: “ordinary” and “partial”.ĭifferential equations with ONE independent variable are called ordinary differential equations.ĭifferential equations with two or more independent variables are called partial differential equations. Differential Equations are classified by type, order, and linearity of the equation. Definition, order, and degree, general and particular solutions of a differential equationĪn equation with a derivative of one or more dependent variables, with one or more independent variables, is a differential equation (DE).
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