–expanding of MIT OCW 18.03 Video Lecture 13
My Goal in this paper is showing you, as clearly as I can, how to solve(find a particular solution of) a linear differential equation with constant coefficients: , when f(t) is exp(at), t^n, sin(at) or their sum and multiply.
For example you can solve equations as fellows, using operator notation, after reading this paper:
Before your reading of the rest of this paper, I strongly recommend you to watch the 13th video Lecture of Differential Equations on MIT_OCW which can be downloaded on http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring2004/CourseHome/index.htm. The fellowing section is based on that lecture.
full contents of this paper can be download on