Differential Equations and The - Braun, Martin 7579 · Problem 11

Dynamics and Bifurcations — Braun, Martin 7579

Mathematics — Calculus · laplace-transform-systems

Problem

Find the solution of the following initial-value problem:

\dot{\mathbf{x}}=\begin{pmatrix}1 & 2 & -3\\1 & 1 & 2\\1 & -1 & 4\end{pmatrix}\mathbf{x}, \quad \mathbf{x}(0)=\begin{pmatrix}1\\0\\0\end{pmatrix}