Differential Equations 1 | Classifying the Equations and Notations - Introduction (1.2)
Definitions As we discussed earlier in here differential equations widely used when we need to model real-world actions. For instance, velocity, acceleration, heat on a surface etc. Remember that, derivatives measure how a quantity changes, so a differential equation describes a relationship between a quantity and its rate of change. Let us leave these intuitive definitions aside and focus on rigorous definitions of differential equations. $\textbf{Definition 1.1.:} $ (Differential Equations) An equation containing the derivatives of one or more dependent variables with respect to one or more independent variables is said to be a differential equation, shortly DE. ...