Any doubt in this then comment below...i will explain ..



For each of the linear systems below a. Sketch the phase portrait by hand
Sketch the phase portrait for each linear system below
Y. dt - (33) = (211) dY dt Y.
Please a- c for non linear system b
3. For each of the given non-linear systems, (a) find the equilibrium points, (b) near each equilibrium point, sketch the phase portrait of the linearized system, (c) use the information in (a) and (b) to sketch the phase portrait of the system: x' = - 4x + 4xy Sx = 2x – 2x² + 5xy ly=2y-y² – ry ly' = y - 2y2 + 2xy
9-Sketch the phase plane portrait (phase portrait) for the given system of differential equations. Include all your calculations (phase portrait without proper calculations wont be accepted). (5 Points) X' - x + 3y ly - 2x - 4y
Problem 1. Each of the following linear systems has one eigenvalue and one line of eigenvectors. For each system, (a) find the eigenvalue; (b) find an eigenvector; (c) sketch the direction field; (d) sketch the phase portrait, including the solution curve with initial condition Yo = (1,0); and (e) find the general solution;
Sketch the phase portrait of y'' - 3y' + 6y = 0 on the plane (y; y0)
1) Find the general solution of di = Ay where Then sketch the phase portrait in the x-y plane, where Finally, classify the equilibrium solution at the origin as a source, spiral sink, etc. 2) Repeat for the matrix | 3 -31 -2 -2] 3) Repeat for the matrix 4 — 4) Repeat for the matrix [95 -9 15 but you don't need to sketch the phase portrait.
1. For each of the following systems, sketch the x- and y-nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x,y 20. x' = x(y + 2x-2), y' = y(y-1 ) (a)
1. For each of the following systems, sketch the x- and y-nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for...
Solve the linear svstenm Find the equilibrium and determine its type. Draw the phase portrait showing the eui librium, the ray solutions, and sketch other trajectories showing the direction. Find the solution with the initial conditions x(0) = 1, y(0) = 0.
1. For each of the following systems, sketch the x- and y-nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x,y 20. (b) x' = x(y + 2x-2), y' = y(y + x-3)
1. For each of the following systems, sketch the x- and y-nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only...
nullcline example:
1. For each of the following systems, sketch the x- and y-nullclines and use this information to determine the nature of the phase portrait. You may assume that these systems are defined only for x,y 20. (b) x' = x(y + 2x-2), y' = y(y + x-3) Figure 9.4 The (a) nullclines and (b) phase portrait for x'