2.1: Understanding Slope Fields - Example

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Example of a phase portrait for an autonomous first order differential equation.
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Thank you for this great course. I now understand what the differential equations are about. "d(x) /d(y) = y-x" literally means: the slope at these (x1, y1) point on a plot has a slope of y1-x1.

I've studied differential equations for one semester. And I didn't understand much: they only gave us rules how to integrate these equations analitically.

samtux