MessageDialog (Built-in Mathematica Symbol)

MessageDialog[expr] puts up a standard message dialog that displays expr together with an OK button.MessageDialog[expr, {lbl_1 :> act_1, lbl_2 :> act_2, ...}] includes ...

OddQ (Built-in Mathematica Symbol)

OddQ[expr] gives True if expr is an odd integer, and False otherwise.

Protected (Built-in Mathematica Symbol)

Protected is an attribute which prevents any values associated with a symbol from being modified.

Residue (Built-in Mathematica Symbol)

Residue[expr, {z, z_0}] finds the residue of expr at the point z = z_0.

True (Built-in Mathematica Symbol)

True is the symbol for the Boolean value true.

$BatchInput (Built-in Mathematica Symbol)

$BatchInput is True if input in the current session is being fed directly to the Mathematica kernel in batch mode.

Defining Derivatives (Mathematica Tutorial)

You can define the derivative in Mathematica of a function f of one argument simply by an assignment like f'[x_]=fp[x]. This defines the derivative of f(x) to be fp(x). In ...

Exact Equations (Mathematica Tutorial)

Here is an example of an exact ODE. This verifies the solution. Here is a contour plot of the solution.

Homogeneous Equations (Mathematica Tutorial)

Here is a homogeneous equation in which the total degree of both the numerator and the denominator of the right-hand side is 2. The two parts of the solution list give ...

Linear IVPs and BVPs (Mathematica Tutorial)

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 ...