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Consider the differential equation $\frac{dy}{dx} = (x^2 + x + 1)(y^2 - y + 1)$. If $y(0) = \frac{1}{2}$, then the value of $2(y(1)) - 1$ is
Consider the differential equation $\frac{dy}{dx} = (x^2 + x + 1)(y^2 - y + 1)$. If $y(0) = \frac{1}{2}$, then the value of $2(y(1)) - 1$ is
Updated On: Apr 6, 2026
- $\sqrt{3} \tan \left( \frac{11\sqrt{3}}{12} \right)$
- $\sqrt{3} \tan \left( \frac{12\sqrt{3}}{17} \right)$
- $\sqrt{2} \tan \left( \frac{11\sqrt{3}}{12} \right)$
- $\sqrt{2} \tan \left( \frac{12\sqrt{3}}{11} \right)$
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