Equations Review

Differential equations play a ___role in many scientific areas: mathematics, physics, engineering, chemistry, biology, medicine, economics, etc.

___ is the derivative of the velocity function and the second derivative of the position function.

___ analysis is a method to analyze a certain subject using non-numeric plus non-quantifiable indicators, behavior, and characteristics to determine its overall situation, quality, value, or any other parameter.

In order to achieve all this, Newton had to develop many mathematical techniques-in addition to ___ calculus.

A ___ differential equation is an equation containing a differentiation and a function, with a set of variables.

The experiments were repeated many times with similar results which were highly ___ statistically.

Note that these are all ___ algebraic groups.

The ___(syn. ability to widen) of solutions of ordinary differential

equations is a fundamental and important property since

the analysis of stability and boundedness of solutions requires

it.

All of these results show the importance of considering existing mathematical ideas in new contexts in order to figure out if a problem is even currently ___ (possible to solve).

___ equations are two or more algebraic equations that share variables e.g. x and y; their name derives from the fact that they are solved at the same time.