Tribute to Euler

Calculus Level 4

If \( \dfrac d{dx} \left( \dfrac {dy}{dx} \right) = \sqrt y \), under the condition \(y=1\), and \( \dfrac{dy}{dx} = \dfrac2{\sqrt3} \) at \(x=0 \), find \( y\) when \(x=2\sqrt3\).

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