- #1
Pepsi24chevy
- 65
- 0
The problem reads as followed: Plot the direction field fo rthe equation dy/dt = y^2-ty
again using a rectangle large enough to show the possible limiting behavors. Identify the unique constant solution. Why is this solution evident from the differential equation? If a solution curve is ever below the constant solution, what must its limiting behavor be as t increases? For solutions lying above the constant solution, describe two possible limiting behavors as t increases. there is a solution curv e that lies along the boundary of the two limiting behavors. What does it do as t increases.
ok, now i am having problems plotting the field. I get all the direction vectors pointing down no matter what domain i choose. Here is how i have been typing it in.
>> [T,Y] = meshgrid(-5:0.2:5, -5:0.2:5);
>> S = Y^2 - T*Y;
>> L = sqrt(1 + S.^2);
>> quiver(T, Y, 1./L, S./L, 0.5), axis tight
again using a rectangle large enough to show the possible limiting behavors. Identify the unique constant solution. Why is this solution evident from the differential equation? If a solution curve is ever below the constant solution, what must its limiting behavor be as t increases? For solutions lying above the constant solution, describe two possible limiting behavors as t increases. there is a solution curv e that lies along the boundary of the two limiting behavors. What does it do as t increases.
ok, now i am having problems plotting the field. I get all the direction vectors pointing down no matter what domain i choose. Here is how i have been typing it in.
>> [T,Y] = meshgrid(-5:0.2:5, -5:0.2:5);
>> S = Y^2 - T*Y;
>> L = sqrt(1 + S.^2);
>> quiver(T, Y, 1./L, S./L, 0.5), axis tight