Differential Equations and The - Braun, Martin 7579 · Problem 18

Dynamics and Bifurcations — Braun, Martin 7579

Mathematics — Calculus · particular-solution-matrix-ode

Problem

Find a particular solution

\psi(t)

of the given differential equation of the form

\psi(t)=e^{\lambda t}(\mathbf{a}+\mathbf{b}t)

\dot{\mathbf{x}}=\begin{pmatrix}3 & 2 & 4\\2 & 0 & 2\\4 & 2 & 3\end{pmatrix}\mathbf{x}+\begin{pmatrix}2\\1\\2\end{pmatrix}e^{8t}