Can you explain how the Laplace transform is used to solve differential equations? I know the definition of the transform as an improper integral and I've seen a visualization of it, but
![Laplace Transform (Definition, Formula, Properties and Examples) | Laplace Transform Differential Equations Laplace Transform (Definition, Formula, Properties and Examples) | Laplace Transform Differential Equations](https://cdn1.byjus.com/wp-content/uploads/2020/01/Laplace-Transform-1.png)
Laplace Transform (Definition, Formula, Properties and Examples) | Laplace Transform Differential Equations
![ordinary differential equations - Why is Laplace Transform used for ODEs - Mathematics Stack Exchange ordinary differential equations - Why is Laplace Transform used for ODEs - Mathematics Stack Exchange](https://i.stack.imgur.com/vPODA.png)