Nah we can’t do that, right?
Nah we can’t do that, right?
12 comments
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Yes, yes we can!
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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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Worse, I like to cancel out the "d"s.
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Then you divide by x.
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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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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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12 comments
If I remeber right you can do that, because there's a longer and proper way that arrives at the same conclusion
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)
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.
Exept when there isn't