1) Given the system dx dt dy dt xcos(xy) = -ycos(xy) || a) Show the system is Hamiltonian with H(x, y) = sin(xy) as it's

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1 Given The System Dx Dt Dy Dt Xcos Xy Ycos Xy A Show The System Is Hamiltonian With H X Y Sin Xy As It S 1 (26.09 KiB) Viewed 31 times

1) Given the system dx dt dy dt xcos(xy) = -ycos(xy) || a) Show the system is Hamiltonian with H(x, y) = sin(xy) as it's function. b) Draw the phase plane (directional field using software) c) Find the solution curve that passes through the point (1,2) and draw it on the phase plane from part b) (do not solve the equation for y or x) Your answer should include a screen shot of the phase plane and the solution curve.