Plot different types of plots on same graph
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Assume I've defined
f2 := (x,y) -> x*exp(y) + cos( x*y )
and
gf2 := gradient( f2(x,y), [x,y] )
I'd like to plot the level curves of the function, as well as the vector field of the gradient, on one plot.
plot(
// level curves
plot::Implicit2d( f2(x,y)=Z, x=-5..5, y=-5..5, Color=[-Z/10,Z/10,0] ) $ Z=-2..2,
// gradient
plot( plot::VectorField2d( gf2, x=-5..5,y=-5..5, Mesh=[10,10] ) )
)
This doesn't work though! It generates 2 plots.
Can I have mupad superimpose the gradient vector field with the level curves of the original function?
2 comentarios
Walter Roberson
el 27 de Jun. de 2012
Note: MuPAD has its own plotting system that is not based on handle graphics.
Respuestas (1)
Andreas Sorgatz
el 27 de Jun. de 2012
The following input displays all objects in one plot:
f2 := (x,y) -> x*exp(y) + cos( x*y );
gf2 := gradient( f2(x,y), [x,y] );
plot(
// level curves
plot::Implicit2d( f2(x,y)=Z, x=-5..5, y=-5..5, Color=[-Z/10,Z/10,0] ) $ Z=-2..2,
// gradient
plot::VectorField2d( gf2, x=-5..5,y=-5..5, Mesh=[10,10] )
)
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