Very useful video. However, I've spent an hour trying to understand the step where you use the integral equation at 7:30. It would be easier if you could do a quick review of the integral equation here. In addition, the parameters of the function j under the integral are a bit different from those of function g from the integral equation that you introduced in the "How to solve inhomogeneous transport PDE" video. It took me some time to figure out why, and it would be great if this can be clarified in the video as well. All the best. :)
Hi - it turns out that I'm writing a book on PDE right now (to go with the vids), but it won't be finished for quite a while. :-) Kreyzig's "Engineering Mathematics" might be a good place to start. Best of luck.
Hi Chris, i very much liked your video! Can i suggest though that you don't use the notation j(x) to denote functions in your videos? It detracts from the otherwise excellent clarity of your videos. Since j is often, like i used to denote sqrt(-1) in engineering mathmatics its a little confusing.