Learn about the Laplace Transform of discontinuous functions in this 30-minute video tutorial. Explore unit step functions and shifted unit step functions, and understand their applications in solving differential equations. Discover how to graph and transform various functions, including t^2, (t-4)^2u(t-4), and t^2u(t-4). Practice finding Laplace transforms of shifted unit step functions and solving inverse Laplace transform problems involving unit step functions. Apply these concepts to solve differential equations using Laplace Transform techniques with unit step functions.
Overview
Syllabus
Laplace transform of unit step function & rectangular window function.
Graphs of t^2, (t-4)^2u(t-4), t^2u(t-4).
Laplace transform of t^2, (t-4)^2u(t-4), t^2u(t-4).
Laplace transform of f(t-a)u(t-a), the shifted unit step function.
Laplace transform of unit step function, sect7 6#1.
Inverse Laplace transform with unit step function, sect7.6#13.
Inverse Laplace Transform with unit step function, sect7.6#15.
Solve differential equation with Laplace Transform involving unit step function.
Taught by
blackpenredpen
