Question: plz solve this one ! 1. Consider the nonlinear second order equation 0 + 0- (03/ 6) = 0. (a) Rewrite this equation as a

plz solve this one !

1. Consider the nonlinear second order equation 0" + 0- (03/ 6) = 0. (a) Rewrite this equation as a nonlinear first order system of two equations (using a = 0 and y = 0'). (b) Find the three critical points of this system. (c) Compute the Jacobian and try to classify the three critical points. (d) Use the chain rule and separation of variables to find implicit equations for the system's trajectories in the phase plane. (e) Sketch the trajectories (feel free to use DESMOS or a slope field generator). Do your sketches provide support your classification attempt in part (c)

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