#differential-equations
How many type of differential equations are there?
There are four types of first order differential equations, namely separable, homogeneous, exact and linear
Define Picard's Theorem?
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
Define Ordinary Differential Equations?
An ordinary differential equation (or ODE) is an equation involving derivatives of an unknown quantity with respect to a single variable
Define the  first order differential equation?
Separable
Define the degree of a differential equation?
The degree of a differential equation is the degree (or power) of the highest order derivative
Which of the theorems is the one that defines the uniqueness of a given differential equation?
Picard's Theorem
Differential equations are used widely in the fields of economics, ecology and physics.?
TRUE
Define Theorem Arzela-Ascoli?
Every uniformly bounded, uniformly equicontinuous sequence of functions has a subsequence that converges uniformly on compact (closed and bounded) sets
Define the order of a differential equation ?
The order of a differential equation is the highest order of derivative that occurs in it
Another way to categorize differential equations is by classifying them into either ordinary differential equations (ODE) or partial differential equations (PDE). Which is the characteristic of a PDE?
It has more than one independent variable.
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