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Separable First-Order Differential Equations

88K views · Mar 10, 2025 · Education

Comments · 103

  • @Mrjones61 · 9 months ago

    You know the math is getting intense when the professor dave video isn't like 8 years old

    93

  • @bloodwraith729 · 1 year ago

    I was just having issues on this specific subject last week. So this really helped.

    44

  • @DeeeWhy14 · 1 year ago

    I've been out of college for more than a decade now (CS and Math major), and sadly a lot of the knowledge with even basic calc dissipated through the years because my job doesn't require it. Watching these types of videos brings me back to those days! Thanks mate

    51

  • @Amadioh · 1 year ago

    Do you remember everything you teach because that would be kinda impressive

    50

  • @djpeacannon8461 · 1 year ago

    I have to say, you've come out with this series at the perfect time. I'm a physics undergraduate currently taking a PDE module, so this'll help a lot. Thanks.

    11

  • @Icecold17RakkoBako · 1 year ago

    PROFESSOR DAVE EXPLAINS

    5

  • @michabrzezinski8874 · 1 year ago

    I never knew how much I needed his explanation on how to do those equations until this very moment - THANK DOG I FOUND IT AT LAST

    4

  • @neonmenace1592 · 9 months ago

    I don't think the bounds of the integral can be the same as the variable you're integrating with respect to, but I've also done the same exact thing in my Physics class haha.

    1

  • @koei3920 · 1 year ago

    Were was this video last semester when I took this class 😂

    3

  • @ariebaudoin · 1 year ago

    i love this series, two small note though as a mathematician:<br>-the treating the differential as a fraction is a good tool to remember how you can use this, but its not a mathematical proof, it only works in this case because the mathematical proof exists, you can proof this easalli by just filling in a general seperable function that you constructed with this method and chack that it indeed solves the ODE<br>-most mathematicians that i know would never use the same variables in the integrand as they use for the integration boundary, so they would write \int_0^y 15u^4 du with u being a temporary variable, this is important when you integrate over more then one dimension, because then the integral would get a completelly different meaning when you dont use temporary new variables.

    7

  • @pekka-problems · 1 year ago

    I really enjoyed this back in college. Called it variable separable but our professors love to give tricky and erroneous problems that requires some deep algebra before it becomes separable. 😂😂😂

    9

  • @davethesid8960 · 3 days ago

    But I was told we can&apos;t use the same variable in the bounds and in the integrand because it doesn&apos;t make sense.

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