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Differential Equationshard
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Solve the initial value problem y′=4x(y2+1)y' = 4x(y^2 + 1)y′=4x(y2+1) with y(0)=1y(0) = 1y(0)=1. What is the value of yyy as x→π8x \to \sqrt{\frac{\pi}{8}}x→8π​​?