I've come across an issue that was bugging me last semester in my circuits class today: Finding general solutions of linear differential equations. Just add the homogeneous and particular solution and it's done. Last semester it wasn't explained why exactly this is possible and this semester it's even worse.(adsbygoogle = window.adsbygoogle || []).push({});

Is there a proof or preferably a geometric representation that shows why adding these two together works? I can't find anything in my Diffy Q book or online. The only thing that is said is along the lines of "because they are linear." I guess I'm just not finding that point very obvious.. Thanks for any help

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# General solutions of linear differential equations, why add the homogen. + particular

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