There are four types of first order differential equations, namely separable, homogeneous, exact and linear
The fundamental criteria for a differential equation is to have a unique (only one) solution as given by the Picard's Theorem, where it states that we have to test for the continuity of the given function
An ordinary differential equation (or ODE) is an equation involving derivatives of an unknown quantity with respect to a single variable
The degree of a differential equation is the degree (or power) of the highest order derivative
Every uniformly bounded, uniformly equicontinuous sequence of functions has a subsequence that converges uniformly on compact (closed and bounded) sets
The order of a differential equation is the highest order of derivative that occurs in it
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