Consider the partially decoupled system(a) Derive the general solution.(b) Find the equili...

Consider the partially decoupled system

(a) Derive the general solution.

(b) Find the equilibrium points of the system.

(c) Find the solution that satisfies the initial condition (x0, y0) = (1, 0).

(d) Use HPGSystemSolver to plot the phase portrait for this system. Identify the solution curve that corresponds to the solution with initial condition (xo, yo) = (1,0).