Direction Fields and Euler's Method

Example slope field

The slope field of $\frac{dy}{dx}=x^2-x-2$, with the blue, red, and turquoise lines being $\frac{x^3}{3}-\frac{x^2}{2}-2x+4$, $\frac{x^3}{3}-\frac{x^2}{2}-2x$, and $\frac{x^3}{3}-\frac{x^2}{2}-2x-4$, respectively.

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"Slope field."

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Direction Fields and Euler's Method

Example slope field

Source

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