https://homepages.bluffton.edu/~nesterd/apps/slopefields.html ( this is the link to draw the phase plane . Use the system part to draw ).

Question 1 A. Given the system dr rcos(xy) de dy de -ycos (ry) a) Show the system is Hamiltonian with H(x, y) = sin (ry) as it's function. b) Draw the phase plane (directional field using software) c) Find the solution curve that passes through the point (1.;) and draw it on the phase plane from part b) (do not solve the equation for y or x) B. Given the system dy a) Is the system Hamiltonian? b) If so, find the Hamiltonian function c) Draw the phase plane (directional field using software) d) Find the solution curve that passes through the point (1,2) and draw it on the phase plane from part c) (do not solve the equation for y or x) Your aswer should include a screen shot of the phase plane and the solution curve