Complex numbers and differential equations for physics

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neosoul
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How relevant is complex analysis to physics? I really want to take differential equations but I would have to change my schedule around way more than I want to. So, would anyone advise a physics major to to take complex analysis? Should I just change my schedule around so I can take differential equations? Which would you recommend me taking first?

Thanks in advance!
 
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Also, complex analysis seems interesting to me. It's something that I plan on taking anyway, I just want to get the more required and important classes out of the way first.