Question: Problems 29 through 32 explore the connections among general and singular solutions, existence, and uniqueness. Find a general solution and any singular solutions of the

Problems 29 through 32 explore the connections among general and singular solutions, existence, and uniqueness.

Find a general solution and any singular solutions of the differential equation dy/dx = y√y² - 1. Determine the points (a, b) in the plane for which the initial value problem y' = y√y² - 1, y(a) = b has

(a) No solution,

(b) A unique solution,

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