Prove that the differential equations in the attached image can be rewritten as a Hamiltonian system (also attached image) and find the Hamilton function H = H(q, p) such that H(0, 0) = 0 Im quite new to the differential equation course so if able please provide some explanation with the taken steps, thank you in advance.
Prove that the differential equations in the attached image can be rewritten as a Hamiltonian system (also attached image) and find the Hamilton function H = H(q, p) such that H(0, 0) = 0 Im quite new to the differential equation course so if able please provide some explanation with the taken steps, thank you in advance.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that the
Im quite new to the differential equation course so if able please provide some explanation with the taken steps, thank you in advance.
Transcribed Image Text:−q+p+q²,
ġ
p = p - 2qp.
Transcribed Image Text:ġ
p
OH(q.p)
др
aH(q.p)
да
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Im sorry, could you perhaps elaborate the steps more? For example i dont get where the p comes from in the first equation?
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