Differential Equations
Introduction
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.
See Also
https://en.wikipedia.org/wiki/Differential_equation
https://www.khanacademy.org/math/differential-equations
Parent Categories
Differential Equations Calculators and Collections
Differential Equations Equations
- 3x3 Matrix Characteristics KurtHeckman Use Equation
- Characteristic Polynomial of a 2x2 Matrix SavannahBergen Use Equation
- Characteristic Polynomial of a 3x3 Matrix SavannahBergen Use Equation
- Characteristics of a 2x2 Matrix KurtHeckman Use Equation
- Classification of Harmonic Oscillators with Damping SavannahBergen Use Equation
- Classifying Equilibria for a 2x2 Matrix SavannahBergen Use Equation
- Determinant of a 2x2 Matrix SavannahBergen Use Equation
- Eigenvalues and Eigenvectors of a 2x2 Matrix SavannahBergen Use Equation
- Eigenvalues of a 2x2 Matrix SavannahBergen Use Equation
- Euler's Formula SavannahBergen Use Equation
- General Solution for a First-Order Hom. Lin. System of Equations SavannahBergen Use Equation
- General Solution for Second-Order Lin Hom Equations SavannahBergen Use Equation
- Inverse of a 2x2 Matrix SavannahBergen Use Equation
- Inverse of a 3x3 Matrix KurtHeckman Use Equation
- Laplace Transform for cos(at) SavannahBergen Use Equation
- Laplace Transform for e^(at) SavannahBergen Use Equation
- Laplace Transform for e^(at)cos(bt) SavannahBergen Use Equation
- Laplace Transform for e^(at)sin(bt) SavannahBergen Use Equation
- Laplace Transform for sin(at) SavannahBergen Use Equation
- Laplace Transform for t^(n) e^(at) SavannahBergen Use Equation
- Laplace Transform for t^n SavannahBergen Use Equation
- Matrix Test KurtHeckman Use Equation
- Mixing Problem CalebSvobodny Use Equation
- Mixing Problem with Initial Condition CalebSvobodny Use Equation
- Multiplication of a 2x2 Matrix by a 2x1 Matrix SavannahBergen Use Equation
- Multiplication of a 2x2 Matrix by a Scalar SavannahBergen Use Equation
- Multiplication of a 2x3 Matrix and a 3x2 Matrix SavannahBergen Use Equation
- Multiplication of a 3x3 Matrix and a 3x1 Matrix SavannahBergen Use Equation
- Newton's Law of Cooling - Time SavannahBergen Use Equation
- Scalar Form of Gen Solution for Second-Order Lin Hom Equations SavannahBergen Use Equation
- SIR Epidemic Model CalebSvobodny Use Equation
- SIS Epidemic Model CalebSvobodny Use Equation
- Trace of a 2x2 Matrix SavannahBergen Use Equation
- Trace of a 3x3 Matrix SavannahBergen Use Equation
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