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Linearly Independent Solutions

In this video, we discuss how to tell if solutions to linear ordinary differential equations (ODEs) are linearly independent. In the process, we define the Wronskian of functions. I am just a student, so feel free to point out any mistakes. ACKNOWLEDGEMENTS Photo by Goh Rhy Yan on Unsplash Photo by Braden Collum on Unsplash Photo by Erik Eastman on Unsplash Photo by Ricardo Gomez Angel on Unsplash By Rama - Own work, CC BY-SA 2.0 fr, https://commons.wikimedia.org/w/index... By Johan Gørbitz - Originally uploaded to English wikipedia by en:User:Pladask, http://www.math.uio.no/div/abelkonkur..., Public Domain, https://commons.wikimedia.org/w/index... Special Agent None by Alexander Nakarada | https://www.serpentsoundstudios.com Music promoted by https://www.free-stock-music.com Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/... Science And Magic by Serge Narcissoff |   / sergenarcissoff   Music promoted by https://www.free-stock-music.com Creative Commons Attribution-ShareAlike 3.0 Unported https://creativecommons.org/licenses/...