Differential Equations and The - Braun, Martin 7579 · Problem 9

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}2 & -2\\4 & -2\end{pmatrix}\mathbf{x}+\begin{pmatrix}0\\\delta(t-\pi)\end{pmatrix}, \quad \mathbf{x}(0)=\begin{pmatrix}1\\0\end{pmatrix}