Examine your phase portraits in Problem 51. Under what conditions will the phase portrait of a 2× 2 homogeneous linear system with complex eigenvalues consist of a family of closed curves? Consist of a family of spirals? Under what conditions is the origin (0, 0) a repeller? An attractor? Problem 51 Find phase portraits for the systems in Problems 38-40. Problems 38 Find the general solution of the given system. Problems 40 Find the general solution of the given system.

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