Worked Example: 1. Laplace Transforms Rewrite the equation in terms of its Laplace Transforms (see table) 2. Insert initial conditions = 0 and = 0 (i.e. displacement & velocity at t=0s) 3. Rearrange for and if possible combine separate RH fractions into one. Identify the transfer function.
Next steps can be done by hand or by using Matlab Ilaplace transform: