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if u can plz use jupyter notebook to write this python code. that's the example code Task II: This task involves plotting the slope field
if u can plz use jupyter notebook to write this python code.
that's the example code
Task II: This task involves plotting the slope field of a first-oder differential equation. - Plot the slope field for the differntial equation y' = lny - t. Assume that t (-2, 2) and y [1,4]. Be sure to label the axes and give the plot a title. In [10]: ###################################################################################################################### ###plot slope field plt.rcParams['figure.figsize']=11,6 def dy_dx(x,y): #define differential equation as a function: dy/dx = f(x,y) return y**2 - y - 2 x = linspace(0, 5, 20) #grid along x-axis (you may want to adjust these quantities) y = linspace(-3, 4, 20) #grid along y-axis (you may want to adjust these quantities) for j in x: for k in y: slope = dy_dx(j, k) #slope of solutions to DE at various points in the xy-plane domain - linspace(-0.05, j+0.05, 2) def fun(x1, y1): z = slope* (domain-x1)+y1 #equation of Line return z plt.plot(domain, fun (j,k), 'b-', solid_capstyle='projecting', solid_joinstyle='bevel') plt.title('slope Field') plt.xlabel('t') plt.ylabel('y') plt.xlim() #you may want to adjust x-axis range in plot plt.ylim() #you may want to adjust y-axis range in plot plt.show() Slope Field 4 3 2 1 0 -1 0Step by Step Solution
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