Differential Equations and The - Braun, Martin 7579 · Problem 2.12.Ex6

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

Mathematics — Calculus · dirac-delta-ode

Problem

Solve the initial-value problem d2ydt2+dydt+y=2δ(t−1)−δ(t−2);y(0)=1, y′(0)=0.\frac{d^2y}{dt^2}+\frac{dy}{dt}+y=2\delta(t-1)-\delta(t-2); \quad y(0)=1,\, y'(0)=0.

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