Differential Equations and The - Braun, Martin 7579 · Problem 2.15.18

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

Mathematics — Calculus · higher-order-ode-particular-solution

Problem

Find a particular solution of

y^{(iv)}+4y'''+6y''+4y'+y=t^3e^{-t}

. Hint: Make the substitution

y=e^{-t}v

and solve for

v

. Otherwise, it will take an awfully long time to do this problem.