Differential Equations and The - Braun, Martin 7579 · Problem 2.12.8

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''+y=\begin{cases}t^2, & 0\leq t<1\\ 0, & 1\leq t<\infty\end{cases}; \quad y(0)=0,\, y'(0)=0.