Thread: exam in a couple hours... vector field question

I dont thoroughly understand this... I know I shouldve seeked more help on campus but I got wrapped up in studying for my other exams.

given
dx/dt = (-1/2 3/2 ) (x)
dy/dt (3/2 -1/2 ) (y)

first told to sketch vectors on line y = 0

-1/2x + 3/2y -1/2x
3/2 x -1/2y = 3/2x

How can I tell slope and direction of vectors from this?

Here is the link with this problem on it (example 2)

http://www.math.umass.edu/~norman/33...1lastnotes.pdf

Originally Posted by plopony

I dont thoroughly understand this... I know I shouldve seeked more help on campus but I got wrapped up in studying for my other exams.

given
dx/dt = (-1/2 3/2 ) (x)
dy/dt (3/2 -1/2 ) (y)

first told to sketch vectors on line y = 0

-1/2x + 3/2y -1/2x
3/2 x -1/2y = 3/2x

How can I tell slope and direction of vectors from this?

Here is the link with this problem on it (example 2)

http://www.math.umass.edu/~norman/33...1lastnotes.pdf

On the line then

.

Picking values of say will give both and or dividing .

thanks for the help =)