fieldoptions = [ color = red])
\\\ \ \		\	\	\	\	\	1	/	1	/	/	/ / / //	
WW	\	\	\	\	\	4-	1	/	1	/	/	/	/ ///
\ \	\	\	\	\	\	\	1	/	1	/	/	/	/// y
X X N \	\	\	\	\	\	\.	i	/	/	/	/	/	/s s s
^ X *s N	\	\	\	\	yx	\	i	/	t	/	/		s / y *r
^ "\ ^ V		s	\	\	7 \	i-	i	/	/	/		/	/     ^ y
'— ^			\	\	\	\	i	/			s		y ^ —*
*—».        *-«. *>.	•v.		N	s	\ \	\ \	i			s **•			------
1         1 1	—	1 "-2			/	0 f	«		>.		1 2~	—*	■       i ■ __£ _
^ ^ ^ -			s		/	1		\	\	"s		X	
	y	/	/	/	/	1	\	\	s	s	•s	V.	^ -~~~»
^ y /	/	/	/	/	/	-2r	i	\	\	S	\	N	\ \. \*
y / / y	/	/	/	I	/	i	i	\	\	\	\	\	N V» X X
/ / / /	/	/	/	I	/	i ■	i	\	\	\	\	\	\ \ W
/ / / /	/	/	/	I	/	t	I	\	\	\	\	\	\ N NN
/ / / /	/	/	/	I	/	-4-	I	\	\	\	\	\	\ \ NX
/ / / / /		/	/	I	/	i	I	\	\	\	\	\ \ \\N	
Arrows of the vector field, and the flow line emanating from
the given initial point
> :>
>
> :>
>
> :>
>
> :>
>
>
>
with( Student[ VectorCalculus]):
FlowLine{VectorField{(y, 1)), (0.5, 0.5), fieldoptions = [color = red])
■4*
Arrows of the vector field, and the flow line emanating from
the given initial point
_> _> _>
_> with{Student[VectorCalculus]):
> FlowLine{VectorField{(??, y?)), (0.5, 0.4), fieldoptions = [color = red])
////// Mil /// / //Mil
y y s / / / / » i i x / / / / / / / i i
__S     S     /      /      /       i 1
■3-
-4
111/////// 1   1   J   /   1  f / / / S
1 1  j / / / / s y y
~T~
2"
3j 4
0
,-2-
t 1
^ ^ y / / / / 1 1 1 S / / / / 1 \ \ 1 1 / / / / 1  1   1   1 1-4H
///////til
1   1   J   /   /   /  / / ^ ^
1  1  j  / / / / / / s
1 1 1 / / / / / / /
111///////
Arrows of the vector field, and the flow line emanating from
the given initial point
_> _> _> _> _> _> _> _> _> _> _> >
>
_> with{Student[VectorCalculus]):
> FlowLine{VectorField((?^, y2)), (2, 1), fieldoptions= [color = red], view= [-10..10,
10..10], )
10 n
// / / / / / I 1 1 /////// i i i
s s / / / I  /  I  1 1
^ /   /    /     I     I      \      1 1
' 5*-
10
o.
r    i    i    i - 5i ~ ^       /   /   /   I    1    1    I 1
y / / / / / / / i i / ////// 1 1 1 // / / / /  /  I  1 1
-10J
Arrows of the vector field, and the flow line emanating from
the given initial point
111//////./ Ill/////// i i / / / / / / / y i   i   /   /   /  / / y ^ ^
5_
10
i       /      /      /     S     S __"
1       1       1      1      I     /     / S
1       1       1      /      /     /     /    /   / S
111///////
Ml///////
_> _> _> _> _> _> _> _> _> >
>
> :>
>
>
:> with{Student[VectorCalculus]):
> FlowLine{VectorField{(??, }?)), (4, 5), fieldoptions = [color = red], view= [-100
..100.-100..100], )
100"
///////Ml ///////111 y s / / t i \ \ j i
y S S   /   /    t    1    1     1 1
'50'-
100
50
0
/  i   i -i50i~ i i
y       S  /   /   /    /    J    1 1
y y / / / i \ \ \ i /////// 1 1 1 ///////Ml
-100J
Arrows of the vector field, and the flow line emanating from
the given initial point
MM////// 111/////// i il / / / / / / / y
50 x
100
/    /   s   s  ^ y__*
i   i   /   /   /   / / y y y
i  i  \  i i / / / y y
1 1 1 / //////
MM//////
_> _> _> _> _> _> _> _> >
>
> :>
>
> :>
>
>
:> with{Student[VectorCalculus]):
> FlowLine{VectorField{(??, }?)), (100, 200), fieldoptions = [color = red], view= [
-1000..1000,-1000..1000], )
1000-
///////Ml ///////111 S S / / t 1 1 1 1 1 y y / / /  i   i   i   i i
' 1
' 5*00'-
1000
500
o.
-500.H . . y y / / /  i   i   i   i i s s s / r i \ \ i 1 ////// / J 1 1 ///////Ml
-1000J
Arrows of the vector field, and the flow line emanating from
the given initial point
MM////// 111///////' i i| f / ////// / / / / y y
r   s s
500
1000
/     /     /    / ^--*
i i / / / / / / y y 11 f /////// 111/////// MM//////
_> _> _> _> _> >
>
> :>
>
> :>
>
:> with{Student[VectorCalculus]):
FlowLine{VectorField((x, y, z)), (1, 2, 1), fieldoptions = [color = red], view= [-10 ..10,-10..10,-10..10], )
\ i
Arrows of the vector field, and the flow line emanating from
the given initial point