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Laplace Transform

blackpenredpen via YouTube

Overview

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This course develops the Laplace transform from its definition and integration by parts, then applies complex numbers, exponential-order criteria, piecewise functions, and the translation theorem in s.

Syllabus

Laplace transform of 1.
Laplace transform of t.
Laplace Transform of t^2.
Laplace transform of e^(at).
Laplace transform of sin(bt), using definition and integration by parts.
Laplace transforms of sin(bt) and cos(bt), using complex numbers.
Which functions are of exponential orders? part1.
Which functions are of exponential orders? part2.
Laplace transform of a piecewise function, sect7.2#11.
Laplace Transform: Translation Theorem in s.
Laplace Transform Ultimate Study Guide.

Taught by

blackpenredpen

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