Choose one or more of the following differential equations, and then:
(a) Solve the equation directly.
(b) Write down its phase plane equivalent, and the general solution to the phase plane system.
(c) Plot at least four representative trajectories to illustrate the phase portrait.
(d) Choose two trajectories in your phase portrait and graph the corresponding solution curves u(t). Explain in your own words how the orbit and the solution graph are related.
(i) ii + 4μ = 0
(ii) ii - 4u = 0
(iii)

(iv)

(v)

Transcribed Image Text:

ü + 2ủ +u = 0