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10 Nov 2019
Please help me solve this problem!
(1) where a, b> 0 (a) Rewrite (1) as a system. (b) Find the fixed point (s). (c) Find the eigenvalues. (d) Find the eigenvectors. (e) Write the general solution. Show that it can be written as a real-valued solution like R(t) (vab t) sin Vab t COS J(t) (f) Show that the trajectories in phase space are ellipses, governed by the equation R2 J2 aC2 bC2 where C2 0 is an arbitrary constant. (g) Classify the fixed point and its stability. (h) In what direction do Romeo's and Juliet's feelings go around the ellipse? (i) Discuss the possible outcome for different initial conditions of love/hate.
Please help me solve this problem!
(1) where a, b> 0 (a) Rewrite (1) as a system. (b) Find the fixed point (s). (c) Find the eigenvalues. (d) Find the eigenvectors. (e) Write the general solution. Show that it can be written as a real-valued solution like R(t) (vab t) sin Vab t COS J(t) (f) Show that the trajectories in phase space are ellipses, governed by the equation R2 J2 aC2 bC2 where C2 0 is an arbitrary constant. (g) Classify the fixed point and its stability. (h) In what direction do Romeo's and Juliet's feelings go around the ellipse? (i) Discuss the possible outcome for different initial conditions of love/hate.
Patrina SchowalterLv2
6 Jul 2019