Definition:Differential Equation/Degree

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Let $f$ be a differential equation which can be expressed as a polynomial in all the derivatives involved.

The degree of $f$ is defined as being the power to which the derivative of the highest order is raised.

By default, if not specifically mentioned, the degree of a differential equation is assumed to be $1$.

First Degree (Quasilinear)

A quasilinear differential equation is a differential equation of the first degree.