Differential Equations and The - Braun, Martin 7579 · Problem 2.12.3

Introduction to Applied Nonlinear Dynamical Systems and Chaos — Braun, Martin 7579

Mathematics — Calculus · laplace-transform-piecewise

Problem

Find the solution of the initial-value problem

y''+4y=\begin{cases}1, & 0\leq t<4\\ 0, & t>4\end{cases}; \quad y(0)=3,\, y'(0)=-2.