Differential Equations and The - Braun, Martin 7579 · Problem 2.12.9

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