Differential Equations: How to find the form of the particular part of a non homogenous solution.

In the previous video we went over the basics of how to solve non homogenous differential equations but what I find most people struggle with is how to find the form of the particular part of the equation. So this video has three examples to make that clear.

I plan on teaching AP calculus AB/Calc 1 (differential and integral calculus), calculus 2 (advanced integration and series), calculus 3 (vector and multi-differential calculus), calculus 4 (differential equations), and calculus based physics (Newtonian mechanical, kinematics, and dynamics).