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Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb. How should the slope field of a differential equation dy/dx=f(x,y) be interpreted? The slope of the tangent line to a solution curve y(x) has to equal the value of f(x,y) at the point (x,y)=(x,y(x)). That's because the values of f(x,y) give the slopes of ...
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