Revisica
Sign in
ENGR5001 / Week 3
ENGR201 Laplace deck example, transform by linearityTutorialOld spec ENGR201Third3 min

ENGR201 (old spec) Laplace transforms deck, example f(t) = 5e^(-2t) - 3 sin(4t) (page 11)

Find the Laplace transform of f(t)=5e−2t−3sin⁡(4t)f(t) = 5e^{-2t} - 3\sin(4t) for t≥0t \ge 0, and evaluate F(s)F(s) at s=1s = 1 as a numerical check.

Formulas you may need
  • L[eat]=1s−a\mathcal{L}[e^{at}] = \dfrac{1}{s - a}, L[sin⁡ωt]=ωs2+ω2\mathcal{L}[\sin\omega t] = \dfrac{\omega}{s^2 + \omega^2}; linearity (learn this)