calculus - What is the difference between $dy$ and $Δy$ and why is $dx . . . For examples, this $\mathrm{d}y$ as $\delta y$ and $\mathrm{d}x$ as $\delta x$ notation is used in videos like the ones mentioned in a comment by the OP Yashasv Prajapati: blackpenredpen's “delta y vs dy (differential)” and The Math Sorcerer's “How to Compute Delta y and the Differential dy”
dy dx . . . what are we really saying? What is dx? [duplicate] I've read 'similar' threads here, that ended up as long fights about 'dy dx' being or not being a ratio, so I'm clearly not the first person to wonder about what it is Maybe if I can get clear on what 'dx' by itself is, that will help
Where does the $dy$ go in the process of integration? For example dy dx = 3x, then dy = 3x dx The problem here is that you're doing something which in some ways isn't allowed and is slightly controversial $\mathrm{d}y$ and $\mathrm{d}x$ aren't really separate terms that can have specific values so $\frac{\mathrm{d}y}{\mathrm{d}x}$ isn't really a fraction, it's an operation ( $\frac{\mathrm{d
What exactly are dx and dy in differential equations? If I understand correctly, you mean if we have something like: $$\frac{dy}{dx}=f(y)g(x)$$ then we get: $$\int\frac{1}{f(y)}\frac{dy}{dx}dx=\int g(x)dx$$ writing it like this shows that we integrate wrt the same variable on both sides but it can be simplified to: $$\int\frac{dy}{f(y)}=\int g(x)dx$$ similarly if we have an expression of the form
derivatives - Proof of dy=f’(x)dx - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers