MATLAB commands for generating a slope field for a differential equation. (xyl-meshgrido:0.54,1:0.5:4); Generates a grid of points on the X-axis between 0 and 4 with spacing 0.5 unit and on the y-axis between 1 and 4 with spacing 0.5 unit in this example. A dy=(x.N2-2*y.2)/(2.*x+1); Calculates slope of the curve y(x) at each grid point. dy _-2y' . in this example dr 2x +1 dx=ones(sizeldw: Creates an array of ones with exactly the same number of elements as the array dy. dx dxu=dx./sgrudx."2+dy.42 ); Normalizes the slope element. dt = dr +dy dy dyurdy/sqrt(dxN2+dy."2); Normalizes the slope element . dy = |dx +dy quiver (.dxudXW) Plots the slope lines at each grid point