1) Given the system dx dt dy = -ycos(xy) dt = xcos (xy) I a) Show the system is Hamiltonian with H(x, y) = sin(xy) as it
Posted: Thu Jun 30, 2022 7:41 pm
1) Given the system dx dt dy = -ycos(xy) dt = xcos (xy) I 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.