Laplace Transform: Definition and Examples

Find the Laplace Transform Using the Definition

  1. \( f(t) = e^{3t} \) Solution
  2. \( f(t) = 2t + 5 \) Solution
  3. \( f(t) = t^2 \) Solution
  4. \( f(t) = \sin(at) \) Solution I    Solution II
  5. \( f(t) = \cosh(bt) \) Solution I    Solution II