Related Rates - Finding dx/dt - Mathematics Stack Exchange
I've attempted this problem 11 times now using veriest resources and I can't get it. Here's the problem I'm trying to solve: Suppose that x = x(t) and y = y(t) are both functions of t.
ordinary differential equations - Why we can write $dx/dt$ instead …
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Formal explication of $dx/dt = v(x)$ implies that $dt/dx=1/v(x)$
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What is the difference between d/dt and dy/dt?
Oct 14, 2015 · $\frac d{dt}$ is the differential operator.It doesn't signify any particular value, it's just meant to be applied to functions.
calculus - Integrating with respect to time: $dx/dt=a
Nov 27, 2023 · $\begingroup$ As a physicist by training there is nothing wrong with that slight of hand - however $$\int \frac{dx}{dt}dt = \int a dt$$ is what you should think. $\endgroup$ – Chinny84 Commented Nov 27, 2023 at 19:04
Ordinary Differential Equations: v=dx/dt - Mathematics Stack …
Apr 12, 2017 · The question is: What ODE does v=dx/dt solve? And what is the limit as t approaches infinity of v(t). It sounds almost too easy, but I am confused about what to do exactly. Intuitively, as the question is about falling objects I would expect the limit to go to infinity but I am not sure which ODE is the correct one to give this answer...
Calculating d^2y/dx^2 by Dividing (d/dt)(dy/dx) by dx/dt.
Learn how to calculate d^2y/dx^2 by dividing (d/dt)(dy/dx) by dx/dt, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.
Related Rates Calculus - Confused About What dx/dt, dy/dt and …
Mar 28, 2019 · Hello, I am confused as to how they got 5y in this problem when they multiplied dx/dy by dy/dt in the fourth line. I am also confused as to what dx/dt and dx/dy and dy/dt mean.
ordinary differential equations - How to solve $dx/dt=x^3-x ...
Mar 16, 2023 · 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.
Implicit differentiation; dx/dt - Mathematics Stack Exchange
Jan 17, 2018 · I have been given the following first order derivative equation: $$\\frac{dx}{dt}=ax-bxy$$ How do I find the second derivative? I know how to find implicit derivatives but since the differential i...