- #1
Goethe10
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Hello everybody, What is this equation called? I'm from non-English speaking country and I need to look up materials about how to solve it, Thank you.
What is the name of this equation?
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Discussion Overview
The discussion revolves around identifying an equation presented by a user, specifically focusing on its name and how to solve it. The conversation includes elements of calculus, particularly differentiation, and seeks clarification on terminology used in the context of the equation.
Discussion Character
- Exploratory
- Technical explanation
- Conceptual clarification
Main Points Raised
- A user asks for the name of the equation they presented, indicating they are from a non-English speaking country and need resources for solving it.
- One participant describes the equation as an "ordinary equation" and suggests that there is nothing special about it, implying that it does not require extensive lookup.
- Another participant explains that the equation can be differentiated, providing the derivative as 6x².
- There is a request for clarification on the meaning of "dy," with an explanation that "dy" and "dx" are differentials in the context of calculus.
Areas of Agreement / Disagreement
Participants generally agree that the equation is straightforward and can be differentiated, but there is no consensus on a specific name for the equation itself. The discussion remains somewhat unresolved regarding the terminology and the user's initial query.
Contextual Notes
The discussion does not clarify the specific context or applications of the equation, nor does it resolve the user's request for a full name of the equation.
- #2
tiny-tim
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Welcome to PF!
Hello Goethe10! Welcome to PF!
(why have you written a "d" there?
)
This is an ordinary equation,
and the four possible answers are dervatives of it,
except that instead of writing dy/dx = f(x), they've written them dy = f(x)dx
Hello Goethe10! Welcome to PF!
Goethe10 said:
(why have you written a "d" there?
)This is an ordinary equation,
and the four possible answers are dervatives of it,
except that instead of writing dy/dx = f(x), they've written them dy = f(x)dx
- #3
Goethe10
- 11
- 0
tiny-tim said:Hello Goethe10! Welcome to PF!
(why have you written a "d" there?
This is an ordinary equation,
and the four possible answers are dervatives of it,
except that instead of writing dy/dx = f(x), they've written them dy = f(x)dx
Haha, sorry.
It was just smudge done by paint tool, not an actual D, sorry about confusion :P
What do you mean "ordinary equation" Can you please give me the full name? Thanks.
- #4
tiny-tim
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Goethe10 said:
i mean it's just an equation, there's nothing special about, there's nothing to look up!
(just differentiate it!)
- #5
Goethe10
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- 0
Ah, I see! :D Thank you
So
3+2x^3 would be
6x^2
Can you please tell me what does "dy" means?
So
3+2x^3 would be
6x^2
Can you please tell me what does "dy" means?
- #6
tiny-tim
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Goethe10 said:
correct!
if you'd written the equations in full, you would have written:
y = 3+2x3
So dy/dx = 6x2
So dy/dx = 6x2
The "dy" and "dx" in "dy = 6x2dx" are called differentials (or infinitesimal differentials).
You can always rewrite any dy/dx equation so that the dy and dx are on opposite sides …
look that up in almost any book on calculus
- #7
Goethe10
- 11
- 0
Thank you! :)
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