Consider the partially decoupled system dx dt = x y dy dt
Chapter , Problem 36(choose chapter or problem)
Consider the partially decoupled system dx dt = x y dy dt = y + 1. (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 (x0, y0) = (1, 0).
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