But my point on this video isn't to think about how do you solve aĭifferential equation here, but to think about this notion of using, what we call differentials. And then folks will integrate both sides to find a general solution to So if you divide both sidesīy y, you get one over y, d-y is equal to d-x. Let's divide both sides by y." Which is a reasonable thing to do. So you have d-y is equal to y times d-x, and then they'll say, "Okay So you multiply both sidesīy d-x and then you have, so that would cancel out algebraically, and so you see people treat it like that. Where people just say, "Well, let's just multiplyīoth sides by d-x." Just treating d-x like as if This is one of, the mostīasic differential equations you might see. Of y with respect to x is equal to the value of y itself. The differential equation, the derivative of y with To treat this notation as an actual algebraic expression. You, especially when you start getting into differential equations, you see people start Say is the derivative of y, with respect to x, and that you can do the derivative of f with respect to x because y is equal to our function. You might write this as d-y, d-x, which you'll often hear me That y is equal f of x, you might write this as y prime.
And you learn multiple notations for this.
In x, minus f of x, over our change in x.
In x approaches zero of f of x plus our change There's multiple ways of doing this, the change Of some function f, could be written as f prime of x is equal to the limit as, then You first learn calculus, you learn that the derivative
0 kommentar(er)
