4) Applications of Laplace Transforms

• The Laplace transform is a powerful tool for solving linear ordinary differential equations up to second order with initial conditions
• The Laplace transform reduces a differential equation to an algebraic equation, which can be solved using standard techniques
  The Laplace transform can also be used to solve integral equations, partial differential equations, and other mathematical problems
• The Laplace transform is widely used in engineering, physics, and other fields to model and analyze time-dependent systems and signals
  
• The Laplace transform is a versatile tool that can be combined with other mathematical techniques, such as the Fourier transform and the method of residues, to solve more complex problems.