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Exercise

$\frac{dy}{dx}=\frac{3x^2+1}{1+2y}$

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Final answer to the exercise

$y=-\frac{1}{2}+\sqrt{x^{3}+x+C_0+\frac{1}{4}},\:y=-\frac{1}{2}-\sqrt{x^{3}+x+C_0+\frac{1}{4}}$

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