Properties of Laplace Transform

This course develops computational properties of the Laplace transform through examples involving shifted, scaled, polynomial, exponential, trigonometric, and differentiated functions. It also covers selected transforms involving square roots and series.

Syllabus

Laplace Transform: Translation Theorem in s.
Laplace transform of sqrt(t), without using the gamma function.
Laplace transform of t^2e^(4t).
Laplace transform of t^n, using series.
Laplace transform of f(at).
Laplace Transform of the first derivative, Laplace transform of f'(t).
Laplace Transform of second derivative, laplace transform of f''(t).
Laplace transform of tf(t), ex: laplace transform of tsin(t).
Laplace Transform of t*cos(t).
Laplace transform of 1/sqrt(t), *SPEED RUN*.