Laplace Transform Skills

Find the inverse Laplace transform of F(s) = 1/s^2

• cos(t)

• e^t

• t

• s

Calculate the Laplace transform of d/dt(f(t))

• sF(s) / f(0)

• sF(s) + f(0)

• sF(s) * f(0)

• sF(s) - f(0)

What is the Laplace transform of e^(at)?

• 1 / (s - a)

• 1 / (s + a)

• 1 / (s * a)

• s / (s - a)

Find the Laplace transform of f(t) + g(t)

• F(s) / G(s)

• F(s) - G(s)

• F(s) * G(s)

• F(s) + G(s)

Determine the Laplace transform of 5

• 5s

• 5/s^2

• 5s^2

• 5/s

Find the inverse Laplace transform of F(s) = 1/(s^2 + 4)

• e^(-2t)

• cos(2t)

• sin(2t)

• 1/(2s)

Calculate the Laplace transform of d^2/dt^2(f(t))

• s^2F(s) - f(0) + f'(0)

• s^2F(s) - sf(0) - f'(0)

• s^2F(s) - sf(0) + f'(0)

• s^2F(s) - f(0) - f'(0)

• a / ((s - a)^2 + b^2)

• b / ((s + a)^2 + b^2)

• b / ((s - a)^2 + b^2)

• a / ((s + a)^2 + b^2)

• sin t

• sin 5t

• cos t