How to find L if the form is:(adsbygoogle = window.adsbygoogle || []).push({});

$$ (\frac{\partial L}{\partial x})^2 - (\frac{\partial L}{\partial y})^2 = -1$$

The author wrote, $$L = y + ax^2 + ..$$

but I didn't get how?

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# First order PDE

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