What does the differential equation answer mean?

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The discussion centers around the interpretation of a solution to a differential equation. The original poster expresses confusion about the meaning of their solution and whether it can be visualized graphically. Respondents clarify that the provided answer does not appear to represent a standard differential equation format. One participant suggests that the calculation may involve finding the differential of a specific function at a given point. Understanding the context and format of the equation is crucial for further analysis and graphical representation.
NODARman
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Homework Statement
-4(dx+dy)
Relevant Equations
What does -4(dx+dy) mean?
Hi, last semester I "solved" a full differential equation and the answer was (see the picture). What does it mean? Can I make a graphic with it or what? I really don't get it.

*Arrows are just a continuation of the main formula*

293482098_2905522343085816_5653388484348363792_n.jpg
 
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I don't see a differential equation
( something of the form ##f ' = g(x,y)## )
so I have no idea what you are doing.
Can you try to explain what you think you are doing?

## \ ##
 
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It looks like you are calculating the differential of f(x,y) = x^2/y at the point (x,y) = (-2,1).
 
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First, I tried to show that ##f_n## converges uniformly on ##[0,2\pi]##, which is true since ##f_n \rightarrow 0## for ##n \rightarrow \infty## and ##\sigma_n=\mathrm{sup}\left| \frac{\sin\left(\frac{n^2}{n+\frac 15}x\right)}{n^{x^2-3x+3}} \right| \leq \frac{1}{|n^{x^2-3x+3}|} \leq \frac{1}{n^{\frac 34}}\rightarrow 0##. I can't use neither Leibnitz's test nor Abel's test. For Dirichlet's test I would need to show, that ##\sin\left(\frac{n^2}{n+\frac 15}x \right)## has partialy bounded sums...