Question: Does the initial value problem y ' = 2 x 1 - y 2 2 , y ( 0 ) = 3 have a solution?

Does the initial value problem y'=2x1-y22,y(0)=3 have a solution? Ifso, what isit?
The initial value problem has a solution, y=sin(x2+3).
The initial value problem has a solution, y=sin(x2).
The initial value problem does not have a solution.
The initial value problem has a solution, y=3sin(x2).
Does the initial value problem y ' = 2 x 1 - y 2

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