10 Questions
What is the Laplace transform of the function f(t) = e^(-3t) cos(5t)?
(s + 3)/((s + 3)^2 + 25)
What is the Laplace transform of the Dirac delta function δ(t - a)?
exp(-a*s)
What is the Inverse Laplace transform of the function F(s) = 1/(s^2 + 4)?
sin(2t)
What is the Laplace transform of the function f(t) = t*u(t - a)?
exp(-a*s)/s^2
What is the Laplace transform of the function f(t) = e^(at) sin(bt)?
b/(s^2 + (a + s)^2 + b^2)
What is the 3D graph of the Laplace transform of a function f(t) = e^(-3t) cos(5t)?
A surface above the s-plane
What is the Inverse Laplace transform of the function F(s) = (s - 3)/(s^2 + 4)?
e^(-3t) sin(2t)
What is the Laplace transform of the unit step function u(t - a)?
exp(-a*s)/s
What is the Laplace transform of the function f(t) = e^(-at) cos(bt)?
(a + s)/((a + s)^2 + b^2)
What is the Inverse Laplace transform of the function F(s) = 2/(s^2 + 4)?
2*sin(2t)
Quiz on Laplace Transform and its inverse, including plotting 3D graphs and finding inverse Laplace transforms of given functions using ilaplace command.
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