Matrix representations of graphs go back a long time and are still in some areas the only way to represent graphs. Adjacency matrices represent adjacent vertices and ...

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

Introduction to Differential Equation Solving with DSolve Classification of Differential Equations Ordinary Differential Equations (ODEs)

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

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 ...

ExpIntegralEi[z] gives the exponential integral function Ei(z).

FixedPointList[f, expr] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.

FractionalPart[x] gives the fractional part of x.

FresnelC[z] gives the Fresnel integral C(z).

FresnelS[z] gives the Fresnel integral S(z).