Differential Equations and The - Braun, Martin 7579 · Problem 8

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}0 & 1\\-1 & 0\end{pmatrix}\mathbf{x}+\begin{pmatrix}f_1(t)\\f_2(t)\end{pmatrix}, \quad \mathbf{x}(0)=\begin{pmatrix}0\\0\end{pmatrix}