Question: (a) Solve the differential equation y = 2x1 y2. (b) Solve the initial-value problem y = 2x1 y2, y (0) = 0, and

(a) Solve the differential equation y’ = 2x√1 – y2.
(b) Solve the initial-value problem y’ = 2x√1 – y2, y (0) = 0, and graph the solution.
(c) Does the initial-value problem y’ = 2x√1 – y2, y (0) = 2, have a solution? Explain.

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