(a).
The diffrential equation is .
Using the surrounding field points and as a guide extraplote the
graph from the original points.
Because it has a graph of , there will be no huge differences in one point to the next unless it is an asymptote or a line.
(1).Draw the coordinate plane
(2).Graph the diffrential equation .
Graph :
(b).
Extrapolate the graph from the original points and .
Observe the graph :
The points those which look like a flat line is considered as an equilibrium point for this
solution.
It appears that the constant functions and are equilibrium solutions, because
these functions appear like the flat line.
Therefore, and are equilibrium solutions.
(a).
Graph :
(b).
and are equilibrium solutions.
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |