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Slope field

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Mathematical analysis Fields of mathematical analysis Calculus
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A slope field (or direction field) is a visual representation used in differential equations to illustrate the general behavior of solutions to a first-order differential equation of the form: \[ \frac{dy}{dx} = f(x, y) \] In a slope field, small line segments (or slopes) are drawn at various points (x, y) in the coordinate plane, with each segment having a slope determined by the function \(f(x, y)\).

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