In mathematics, a slope field (or direction field) is a graphical representation of the solutions of a first-order differential equation. It is achieved without solving the differential equation analytically, and thus it is useful. The representation may be used to qualitatively visualize solutions, or to numerically approximate them.
Other articles related to "slope field":
... y' = xy Slope field Integral curves Isoclines (blue), slope field (black), and some solution curves (red) ...
... To plot the slope field and isocline for this equation, one can use the following code in GNU Octave/MATLAB Ffun = @(X,Y)(2-Y).*Y % function f(x,y)=(2-y)y =meshgrid(0.2 ... ezplot(y3, ) ezplot(y4, ) ezplot(y5, ) ezplot(y6, ) title('Slope field, isoclines and solutions for f(x,y)=(2-y)y') ...
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