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Differential Equations is a sub field of Mathematics where the relationship between a function and its derivative is studied. One of the most important aspects of differential equations is its use in modeling, where the applications for differential equations expand everyday. Polking, Boggess, and Arnold write, "The use of differential equations makes available to us the full power of the calculus" (1). There are numerical, analytic, and qualitative techniques for solving differential equations, each proving useful for different domains of study. Although the direct computation of an explicit solution to a differential equation may be considered Math, differential equations helps us to predict the future, and can be applicable to the study of physics, chemistry, biology, and many other subject areas.

Here we provide some equations, calculators, and collections that we hope will help you expand your knowledge of differential equations.

Sources:

"Differential Equation." Wikipedia. Wikimedia Foundation, n.d. Web. 24 May 2016.

Polking, John C., Albert Boggess, and David Arnold. "Introduction to Differential Equations." Differential Equations With Boundary Value Problems. Upper Saddle River, NJ: Pearson/Prentice Hall, 2006. 1-15. Print.

https://en.wikipedia.org/wiki/Differential_equation

https://www.khanacademy.org/math/differential-equations