lin.diff.eqn {rmutil} | R Documentation |

## Solution of Autonomous Linear Differential Equations

### Description

`lin.diff.eqn`

numerically solves a system of autonomous linear
differential equations with given initial conditions by matrix
exponentiation.

### Usage

lin.diff.eqn(A, initial, t=1)

### Arguments

`A` |
A square matrix giving the coefficients of the equations. |

`initial` |
The vector of initial values of the system. |

`t` |
A scalar or vector of values of the independent variable for
which solutions are sought. |

### Value

A matrix of solutions with one row for each value of `t`

.

### Author(s)

J.K. Lindsey

### Examples

a <- matrix(c(1,0,1,0,0,0,0,0,-1),ncol=3,byrow=TRUE)
x <- c(5,7,6)
lin.diff.eqn(a,x,1)
# function giving the exact solution
exact <- function(t) c(8*exp(t)-3*exp(-t),7,6*exp(-t))
exact(1)

[Package

*rmutil* version 1.0

Index]