Contours (Built-in Mathematica Symbol)

Contours is an option for contour plots that specifies the contours to draw.

Examples of DAEs (Mathematica Tutorial)

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

Numerical Solution of Boundary Value ... (Mathematica Tutorial)

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

ExponentialGeneratingFunction (Built-in Mathematica Symbol)

ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...

WeierstrassZeta (Built-in Mathematica Symbol)

WeierstrassZeta[u, {g_2, g_3}] gives the Weierstrass zeta function \[Zeta](u; g_2, g_3).

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

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 ...

ContourStyle (Built-in Mathematica Symbol)

ContourStyle is an option for contour plots that specifies the style in which contour lines or surfaces should be drawn.

ExpandDenominator (Built-in Mathematica Symbol)

ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.