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 ...

One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...

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 ...

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

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).

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