Differential Equations and The - Braun, Martin 7579 · Problem 2.12.Ex7

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

Mathematics — Calculus · dirac-delta-ode

Problem

Solve the initial-value problem

\frac{d^2y}{dt^2}+2\frac{dy}{dt}+y=e^{-t}+3\delta(t-3); \quad y(0)=0,\, y'(0)=3.