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Project: MATH2263
Views: 61
var('x,y,z')
(x, y, z)
u = x^2/4 v = (x-y)/2
plot_vector_field( (u,v), (x,-1,1), (y,-1,1))
u = x+y v = y+z w = x+z
plot_vector_field3d( (u,v,w), (x,-1,1), (y,-1,1), (z,-1,1))
3D rendering not yet implemented
u = 2*x/(x^2 + y^2) v = 2*y/(x^2 + y^2) plot_vector_field( (u,v), (x,-2,2), (y,-2,2))
plot3d( ln(x^2 + y^2), (x,-2,2), (y,-2,2), opacity=0.5)
3D rendering not yet implemented
var('t') integral( (cos(t) + sin(t))*(-sin(t)), t, 0, 2*pi )
t -pi
integral( sin(t)*cos(t), t, 0, 2*pi )
0
var('x,y,t') u = x+y v = y F = plot_vector_field( (u,v), (x,-1,1), (y,-1,1) ) C = parametric_plot( (cos(t), sin(t)), (t,0,2*pi)) F+C
(x, y, t)
var('x,y,t') u = 2*x v = x-y F = plot_vector_field( (u,v), (x,-1,1), (y,-1,1) ) C = parametric_plot( (cos(t), sin(t)), (t,0,2*pi)) F+C
(x, y, t)
u = y v = x F = plot_vector_field( (u,v), (x,-1,1), (y,-1,1)) C = parametric_plot( (cos(t), sin(t)), (t,0,2*pi)) F+C