Mathematical Analysis

Differential Equations

What are differential and ordinary differential equations?

Logically, a differential equation is one that contains differentials of a function, with these equations defining the relationship between a function and one or more derivatives of that function. More specifically, differential equations involve dependent variables and their derivatives with respect to the independent variables. To solve such equations means to find a continuous function of the independent variable that, along with its derivatives, satisfies the equation. An ordinary differential equation is one that involves only one independent variable.


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