Differential Equations and The - Braun, Martin 7579 · Problem 2.13.18

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