x^y gives x to the power y.

x *= c multiplies x by c and returns the new value of x.

ZeroTest is an option to various linear algebra functions that gives a function to use in testing whether symbolic expressions should be treated as zero.

$ModuleNumber gives the current serial number to be used for local variables that are created.

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

Mathematica provides several convenient ways to find information about functions. In addition to searching the documentation or navigating the guide pages, you can access ...

Catch[expr] returns the argument of the first Throw generated in the evaluation of expr. Catch[expr, form] returns value from the first Throw[value, tag] for which form ...

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

Properties is an option that allows specification of properties to objects and items of objects.

RandomPrime[{i_min, i_max}] gives a pseudorandom prime number in the range i_min to i_max.RandomPrime[i_max] gives a pseudorandom prime number in the range 2 to ...