Dydx 66 4-6 1 -2 -2 the slope you mentioned. F x y. Slope fields allow us to analyze differential equations graphically.
See how we determine the slopes of a few segments in the slope field of an equation.
Therefore by drawing a curve through consecutive slope lines you can find a solution to the differential equation. Given a differential equation in x and y we can draw a segment with dydx as slope at any point xy. Where fis a continuous function. The Density slider controls the number of vector lines.