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b2386
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Hi all,
Does anyone know if Mathematica can numerically solve a second order differential equation?
Does anyone know if Mathematica can numerically solve a second order differential equation?
Look into the help browser of Mathematica (press F1) under NDSolve. There should be a list of examples (see 'Further examples'). From this you will also see how to plot the solution provided by NDSolve. See also http://documents.wolfram.com/mathematica/Built-inFunctions/NumericalComputation/EquationSolving/FurtherExamples/NDSolve.html [Broken].b2386 said:So what function should I use to graph the numerical solutions?
A differential equation is a mathematical equation that describes a relationship between a function and its derivatives. It is used to model change over time or space, and is commonly used in fields such as physics, engineering, and economics.
Mathematica is a computational software program that can solve differential equations numerically and symbolically. It has built-in functions specifically designed for solving differential equations, and also allows for user-defined functions and equations to be inputted.
Mathematica offers a wide range of numerical and symbolic methods for solving differential equations, making it a versatile tool for different types of problems. It also has advanced visualization capabilities, allowing for the graphical representation of solutions. Additionally, Mathematica has a user-friendly interface and offers detailed documentation and support.
Yes, Mathematica has the capability to solve systems of differential equations, which are equations that involve multiple functions and their derivatives. It can also handle higher-order differential equations, which involve higher derivatives of a function.
While Mathematica is a powerful tool for solving differential equations, it may encounter difficulties with certain types of equations that require advanced mathematical techniques. In these cases, it may be necessary to use other software or manual methods to find a solution.