The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...
NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...
LucasL
(Built-in Mathematica Symbol) LucasL[n] gives the Lucas number L_n.LucasL[n, x] gives the Lucas polynomial L_n (x).
FittedModel[...] represents the symbolic fitted model obtained from functions like LinearModelFit.
When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...
Trig
(Built-in Mathematica Symbol) Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.
Det
(Built-in Mathematica Symbol) Det[m] gives the determinant of the square matrix m.
Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...
Differentiation Total Derivatives Derivatives of Unknown Functions