Explore the Laplace Transform and its applications to Ordinary Differential Equations (ODEs) with forcing and transfer functions in this comprehensive lecture from the Engineering Mathematics course at the University of Washington. Delve into topics such as spring-mass-damper systems, simplification techniques, and full solution methods. Gain insights into frequency response to sinusoidal inputs and learn how to use Bode plots. Access accompanying lecture notes and course materials to enhance your understanding of these advanced mathematical concepts in engineering.