Differential Equations and The - Braun, Martin 7579 · Problem 14

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 & 0 & 0\\2 & 1 & -2\\3 & 2 & 1\end{pmatrix}\mathbf{x}+\begin{pmatrix}0\\0\\e^t\cos 2t\end{pmatrix}, \quad \mathbf{x}(0)=\begin{pmatrix}0\\1\\1\end{pmatrix}