Linearity Property of the Laplace Transform and 7 Useful Transforms to Know! Full Example.

In this video we look at the linearity property of Laplace Transforms. It is a common property that is familiar from calculus. The name is derived from the fact that it is satisfied by basic linear functions. The Linearity property is L{ af(t) + bg(t)} = aF(s) + bG(s) This property is use without even thinking about it for derivatives and integrals, and it must become that familiar to you when working with Laplace Transforms as well! I present seven important transforms to know. Most other transforms can be derived from one of these seven with a translation theorem or other theorem. There are of course some more complicated transforms that are not derived from these, but they are used less frequently in coursework. ----------------- My name is Jonathan, and I think Laplace Transforms are incredibly useful when solving differential equations. I hope to share with you, my tips and tricks for working with these tools! Thanks for watching!