1.2: Slope fields - Mathematics LibreTexts
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WEBJun 16, 2022 · Slope fields. The equation \(y' = f(x,y)\) gives you a slope at each point in the \((x,y)\)-plane. And this is the slope a solution \(y(x)\) would have at \(x\) if its value was \(y\). In other words, \(f(x,y)\) is the slope of a solution whose graph runs through the point \((x,y)\). At a point \((x,y)\), we plot a short line with the slope \(f ...
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