Differential Equations and The - Braun, Martin 7579 · Problem 2.13.16

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

Mathematics — Calculus · integrodifferential-equations

Problem

Use Theorem 9 to find the solution

y(t)

of the integrodifferential equation

y(t)=4t^2-\int_0^t y(u)e^{-(t-u)}\,du.