Review Problems (Laplace Transform)

  1. Using the definition of the Laplace transform, evaluate the transforms of the following functions:

    2. a.

    b.

    c.

    d.

    e.

    f.

  2. Use the properties of the Laplace transform to find the Laplace transform of the following functions

    3. a.

    b.

    c.

    d.

    e.

  3. Obtain the inverse Laplace transform of the following functions

    4. a.

    b.

    c.

    d.

  4. Use the Laplace transform to solve the following differential equations:

    5. a.

    b.

    c.

  5. Use the definition, obtain the Laplace transforms of the following functions.(graphs).

  6. Let x(s)= , find the initial and final values of x(t).

  7. Find the poles and zeros of the following functions( including the ones at infinity)

  8. Find the Laplace transform of the following function