Introduction to Systems and Phase Plane Analysis
Fundamentals Of Differential Equations And Boundary Value Problems · 153 exercises
Q14RP
Find all the critical points and determine the phase plane solution curves for the system
\(\begin{array}{c}\frac{{dx}}{{dt}} = sinxcosy,\\\frac{{dy}}{{dt}} = cosxsiny\end{array}\)
2 step solution
Q15RP
Sketch some typical trajectories for the given system and by comparing with Figure\({\bf{5}}{\bf{.12}}\), page\({\bf{267}}\), and identify the type of critical point at the origin.
\(\begin{array}{c}{\bf{x}}'{\bf{ = - 2x - y}}\\{\bf{y}}'{\bf{ = 3x - y}}\end{array}\)
2 step solution
Q16RP
Sketch some typical trajectories for the given system and by comparing with Figure\({\bf{5}}{\bf{.12}}\), page\({\bf{267}}\), identify the type of critical point at the origin.
\(\begin{array}{c}{\bf{x}}'{\bf{ = - x - }}2{\bf{y}}\\{\bf{y}}'{\bf{ = x}} + {\bf{y}}\end{array}\)
2 step solution