The largest value of \( \frac{2}{\pi} c \) such that there exists a differentiable function \( h...

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The largest value of \( \frac{2}{\pi} c \) such that there exists a differentiable function \( h(x) \) for \( -cxc \) that is a solution of \( y_{1}=1+y^{2} \) with \( h(0)=0 \) is
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