Engineering Math 2: Laplace Transform. 2 - Tutorial Questions
1. Solve the flowing initial value problems using Laplace transform table and partial fraction decomposition techniques (where necessary).
2. Find the Laplace transform of
3. L{u3(t) sin 3(t 一 3)}
Note: Heaviside unit step function may be denoted by uc (t), this is the same as u(t 一 C)
7. Determine the expression f(t) and sketch the graph of f(t) up to f(4) if the Laplace
transform of f(t) is given by:
8. Determine the expression f(t) and sketch the graph of f(t) up to f(4) if the Laplace
transform of f(t) is given by:
9. Solve for x(t) in the following differential equation and sketch the input H(t 一 4) and the response graph of x(t) up to t = 6.
10. Solve for x(t) in the following differential equation with an impulse input: