Is this an elliptic integral or not? – math.stackexchange.com

Is this an elliptic integral or not? – math.stackexchange.com

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I am working with the following differential equation: $$4\left(\frac{dz}{dx}\right)^2+z^4=4$$ On rearrangement, this yields $$\frac{dz}{dx}=\frac{\sqrt{4-z^4}}2$$ Using $z=\sqrt{2}\tan \theta$, ...

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