Laplace Transforms

Description

Laplace Transforms of common functions. Useful for testing out LT inversion functions and whether sufficient precision is being used.

Usage

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L.t(p)

L.tsq(p)

L.exp(p)

L.cos(p)

L.sin(p)

L.H(p)

Arguments

p

Laplace domain variable (commonly called s elsewhere)

Functions

  • L.t: LT of t

  • L.tsq: LT of t^2

  • L.exp: LT of e^(-t)

  • L.cos: LT of cos(t)

  • L.sin: LT of sin(t)

  • L.H: LT of Heaviside unit function stepping at 1: (if p < 1 0 else 1)