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a.) Verify that ? = ?? + ? ^ 2 is a solution to the differential...

a.) Verify that ? = ?? + ? ^ 2 is a solution to the differential equation ? = ?? ̇ + (? ̇) ^ 2.

b.) Determine the value of ? so that ? = ?? ^ 2 is a solution to the differential equation.

c.) Classify the solution obtained in b).

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