# Wolfram|Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints. Learn more about: Systems of equations » Tips for entering queries

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, x^\[Prime](t)=f(t,x) The derivatives of the dependent variables x are expressed explicitly in terms of the independent transient variable t and the dependent variables x.

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. The Wolfram Language can find solutions to ordinary, partial and delay differential equations (ODEs, PDEs and DDEs). DSolveValue takes a differential equation and returns the general solution: (C[1] stands for a constant of integration.) In [1]:=. ⨯.

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Advanced Hybrid and Differential Algebraic Equations Mathematica 9 extends the broad language of modeling with differential equations to include advanced algorithms for solving differential-algebraic equations and hybrid systems with a mix of continuous- and discrete-time behavior. Changes the emphasis in the traditional ODE course by using Mathematica to introduce symbolic, numerical, graphical, and qualitative techniques into the course in a basic way. Designed to accompany Elementary Differential Equations, Fifth Edition by Boyce and DiPrima. In this video you see how to check your answers to Second order Differential Equation Using Wolfram Alpha . The Wolfram Language function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some partial differential equations (PDEs). In a system of ordinary differential equations there can be any number of unknown functions u_i, but all of these functions must depend on a single "independent variable" t, which Wolfram Data Framework Semantic framework for real-world data.

Numerical Differential Equation Solving » Solve an ODE using a specified numerical method: Runge-Kutta method, dy/dx = -2xy, y(0) = 2, from 1 to 3, h = .25 {y'(x) = -2 y, y(0)=1} from 0 to 2 by implicit midpoint Wolfram|Alpha is capable of solving a wide variety of systems of equations.

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Contributed by: Stephen Wilkerson (August 2012)
Get the free "System of Equations Solver :)" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Education widgets in Wolfram|Alpha. In this video you see how to check your answers to First order Differential Equations using wolfram alpha . follow twitter @xmajs
In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, x^\[Prime](t)=f(t,x) The derivatives of the dependent variables x are expressed explicitly in terms of the independent transient variable t and the dependent variables x. Se hela listan på reference.wolfram.com
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### The Wolfram Language 's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms without needing preprocessing by the user.

The Wolfram Language can find solutions to ordinary, partial and delay differential equations (ODEs, PDEs and DDEs).

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Let's say I would like to do this five times. The code I use is the following. Get the free "System of Equations Solver :)" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Education widgets in Wolfram|Alpha. In this video you see how to check your answers to First order Differential Equations using wolfram alpha .

The class of nonlinear ordinary differential equations now handled by DSolve is outlined here. Also, the general policy of output representation in the nonlinear part of DSolve is explained in greater detail and characteristic examples are given. A comprehensive introduction to the applications of symmetry analysis to differential equations. These applications, emerged from discoveries by Sophus Lie, can be used to find exact solutions and to verify and develop numerical schemes.