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Explore the fundamental concepts of the Laplace Transform in this comprehensive lecture from the Engineering Mathematics course at the University of Washington. Delve into the mathematical principles and applications of this powerful tool, essential for solving differential equations and analyzing linear systems. Access accompanying lecture notes for in-depth study and reference the course website for additional resources. Gain valuable insights from Professor Steve Brunton's expertise in this 50-minute session, designed to enhance your understanding of advanced engineering mathematics.