**Narrator:** Problem 6-1: Finding a direction field
for a differential equation.

We have a Task Template that we can use for this. It's in the section Differential Equations, which is split into ODEs and PDEs and then Direction Field.

Well, here's our
differential equation. *[Highlights with his mouse the equation:*
y^{2} = x^{2} - 2y - y^{2}
* under
the Problem 6-1 heading.] *

Let's...copy...this
right-hand side *[meaning the right-hand side of the equation, to
the right of the =]* and
then if we use the tab key we'll move *[he tabs until the right-hand
side of the placeholder equation is selected]* and select the right-hand side of the
placeholder then we only have to paste in the differential equation that we
copied. Hit the enter key. Let's keep the same viewing window 0 to 1 in each direction
*[he
types in 0..1 into the cells next to the words ‘set an x-range of the form a..b’
and ‘set a y-range of the form c..d’]* and then hit the enter key, which executes the DEplot command
that draws the direction—the arrows of the direction field.

If we add initial points…and here are 4 initial points…and re-execute the command then solutions emanating from those initial points are added to the direction field.