- Thread starter
- #1

#### madflame991

##### New member

- Feb 7, 2012

- 3

Let's say we have a system of DEs

$$

\begin{cases}

\frac{dx}{dt} = y + e^t\\

\frac{dy}{dt} = x - t^2\\

\end{cases}

$$

One would write it in matrix form and compute the eigenvectors and stuff like in this tutorial (can't post links due to low post count - it's from "Paul's online math notes")

The only problem is that in that tutorial $b(t)$ is always $0$. In my case $b(t)$ is $(e^t ; -t^2)$

Where does $b(t)$ fit in when solving this type of system?