Nah we can’t do that, right?

Comments

• onion@feddit.de ⁨1⁩ ⁨year⁩ ago

  If I remeber right you can do that, because there’s a longer and proper way that arrives at the same conclusion

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  • Successful_Try543@feddit.de ⁨1⁩ ⁨year⁩ ago

    Yes, and what is aimed for is separation of variables to find a solution of this differential equation. (The differential operator d should be printed as upright letter btw)

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  • marcos@lemmy.world ⁨1⁩ ⁨year⁩ ago

    Just like any kind of mathematics ever.

    You can also do it with numbers, because there’s a longer and proper way that arrives on the same conclusion.

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    • maeries@feddit.de ⁨1⁩ ⁨year⁩ ago

      Exept when there isn’t

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• photonic_sorcerer@lemmy.dbzer0.com ⁨1⁩ ⁨year⁩ ago

  Yes, yes we can!

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• merc@sh.itjust.works ⁨1⁩ ⁨year⁩ ago

  There’s no reason it shouldn’t work.

  dy/dx is the same as (y1 - y2) / (x1 - x2) as the distance between the two points approaches zero. “dx” and “dy” aren’t very useful measurements on their own though.

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• Haus@kbin.social ⁨1⁩ ⁨year⁩ ago

  You can't multiply both sides by dx in much the same way you can't differentiate a duck. That said, even pure mathematicians sort of think of it that way as a useful shorthand.

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  • Feathercrown@lemmy.world ⁨1⁩ ⁨year⁩ ago

    Can’t you just use infinitesimals and then actually multiply them? It never results in an invalid operation with the normal dx, only the one with the fancy d (forgive my lack of terminology knowledge)

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    • Haus@kbin.social ⁨1⁩ ⁨year⁩ ago

      In (d/dx)f(x), d/dx is a symbol that means the derivative of f with respect to x. It's not a division of two variables. But, the reason the symbol is useful is that you sort of can multiply the dx in some situations.

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• topinambour_rex@lemmy.world ⁨1⁩ ⁨year⁩ ago

  Then you divide by x.

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