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==Definition==

===In ~~unnormalized ~~implicit form===

A '''first-order first-degree differential equation''' is a [[differential equation]] that is both a [[first-order differential equation]] and a [[first-degree differential equation]]. Explicitly, it has the form:

where <math>P,Q</math> are known functions. Here, <math>x</math> is the independent variable and <math>y</math> is the dependent variable.

===In ~~normalized ~~explicit form===

In ~~normalized ~~explicit form, a '''first-order first-degree differential equation''' can be written as:

<math>\frac{dy}{dx} = G(x,y)</math>