This video shows how to solve Partial Differential Equations (PDEs) with Laplace Transforms. Specifically we solve the heat equation on a semi-infinite domain.

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This video was produced at the University of Washington

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0:00 Overview and Problem Setup
7:03 How Classic Methods (e.g., Laplace) Relate to Modern Problems
9:17 Laplace Transform with respect to Time
15:10 Solving ODE with Forcing: Homogeneous and Particular Solution
19:12 The Particular Solution and Initial Conditions
28:20 The Homogeneous Solution and Boundary Conditions
31:52 The Solution in Frequency and Time Domains

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