I noticed that Wolfram-Alpha don't solve ordinary differential equations with complex-valued coefficients like$$x'=i$$the simplest I could think off as an example, as you could see here the online software don't give an answer, even so when it do calculate properly the backward operation$$\frac{d}{dt}\left(it\right)=i$$as you can see here, which make me wonder why this happen and maybe if there is a way to make it work... or otherwise if I am making some conceptual mistake and it really don't have an answer (I am pretty rusty about complex-variable calculus).
↧