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## Homework Statement

Consider the system X'(t)=AX+B(t) where:

A =

[0 0 -1]

[1 0 -3]

[0 1 -3]

and B(t)=

[e

^{-3t}]

[e

^{t}]

[3 ]

Find X(t) by frist determining P such that P

^{-1}AP=J is in Jordan form and then solving the three simple equations directly.

## Homework Equations

## The Attempt at a Solution

I know how to find J

but then I'm totally lost.

I need an example to follow.

I have no idea how to solve this.

Or if someone could please direct me to a page on the web that will help.

thanks