example6: Example ODE System Number Six

In phaseR: Phase Plane Analysis of One and Two Dimensional Autonomous ODE Systems

Description

The derivative function of an example two dimensional autonomous ODE system.

Usage

example6(t, y, parameters)

Arguments

t	Value of t, the independent variable, to evaluate the derivative at. Should be a single number.
y	Values of x and y, the dependent variables, to evaluate the derivative at. Should be a vector of length 2.
parameters	Values of the parameters of the system. Not required here.

Details

Evaluates the derivatives of the following coupled ODE system at the point (t, x, y):

dx/dt = x + 2*y, dy/dt = -2*x + y.

Format is designed to be compatible with ode from the deSolve package.

Value

Returns a list dy containing the values of the two derivatives at (t, x, y).

Author(s)

Michael J. Grayling

See Also

ode

phaseR documentation built on May 29, 2017, 6:59 p.m.