{ ġ −p + q² — p2, q — 2qp. Prove that (3) can be rewritten as a Hamiltonian system ӘН (q, p) др ӘН (q, р) да find the Hamiltonfunction ġ р H = H(q,р).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please if able explain the question in the attached image in detail, I am very new to differential equations, thank you in advance.

=
Prove that (3) can be rewritten as a Hamiltonian system
ӘН (q, p)
др
ӘН (q, р)
да
find the Hamiltonfunction
−p + q² — p2,
9 — 2qp.
q
=
p
H = H(q,р).
-
(3)
Transcribed Image Text:= Prove that (3) can be rewritten as a Hamiltonian system ӘН (q, p) др ӘН (q, р) да find the Hamiltonfunction −p + q² — p2, 9 — 2qp. q = p H = H(q,р). - (3)
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