please, does anyone know how to do systems of DE's?
no one?! :(
In Lin Alg at the moment, and not up to that topic yet. But, here is one of my favorite references for calculus that might help: http://tutorial.math.lamar.edu/Classes/DE/SystemsIntro.aspx
thanks!!
If you only have linear operations in your DE, you can convert it into a matrix problem, i.e. AY'=Y where A is a matrix and Y is a vector whose coordinates are functions. Then you can diagonalize your matrix and write the vector in the new base, and then solve the equation quite easily. If not, you can at the very least trigonalize your matrix. This works in linear cases, where only the first differential form intervenes, in other cases there are surely other methods.
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