This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

Conjugate[z] or z\[Conjugate] gives the complex conjugate of the complex number z.

Rationalize[x] converts an approximate number x to a nearby rational with small denominator. Rationalize[x, dx] yields the rational number with smallest denominator that lies ...

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

InverseJacobiCD[v, m] gives the inverse Jacobi elliptic function cd -1 (v \[VerticalSeparator] m).

InverseJacobiCN[v, m] gives the inverse Jacobi elliptic function cn -1 (v \[VerticalSeparator] m).

InverseJacobiCS[v, m] gives the inverse Jacobi elliptic function cs -1 (v \[VerticalSeparator] m).