By long "s", I mean this $\int$
What I am referring to is when we use separation of variables in solving differential equations;
Eg:
- $\frac{dy}{dx} = \frac{y}{x-3}$
- $\frac{1}{y} dy = \frac{1}{x-3} dx$
Since this is my first time learning about the separation of variables, I got stuck here. In an example I read earlier, they just put the long "s" in to make it an integral. So my question is, an integral without the long "s" is still an integral? I thought that already needed to be present to compute the integral.