Laplace transforms are a type of integral transform that are great for making unruly differential equations more manageable. Simply take the Laplace transform of the differential equation in question, solve that equation algebraically, and try to find the inverse transform. Here’s the Laplace transform of the function f (t):


Check out this handy table of Laplace transforms for common functions whenever you don’t want to take the time to calculate a Laplace transform on your own.