The largest value of c such that there e...

The largest value of `c` such that there exists a differentiable function `f(x)` for `-c lt x lt c` that satisfies the equation `y_1 = 1+y^2` with `f(0)=0` is (A) `1` (B) `pi` (C) `pi/3` (D) `pi/2`

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