To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

MathLM is available for Windows, Linux, and Mac OS X. For a detailed list of specific platforms, visit www.wolfram.com/mathematica/features/system-requirements.html. Each ...

Once installed, MathLM starts running automatically by default each time the machine is rebooted. To start or stop MathLM manually, follow these instructions. It is assumed ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Equations Solving Equations The Representation of Equations and Solutions

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

A linear ODE with constant coefficients can be easily solved once the roots of the auxiliary equation (or characteristic equation) are known. Some examples of this type ...

The simplest type of linear second-order ODE is one with constant coefficients. This linear second-order ODE has constant coefficients. Notice that the general solution is a ...

The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...