It's not a short pithy blog post, but this is a good intro to the Laplace transform: http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-

It's not a short pithy blog post, but this is a good intro to the Laplace transform: http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/lecture-19-introduction-to-the-laplace-transform/ http://ocw.mit.edu/courses/mathematics/18-03-differential-eq...