Differential Equations and The - Braun, Martin 7579 · Problem 2.13.15

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)=\sin t+\int_0^t y(t-u)\cos u\,du, \quad y(0)=0.