It is a general doubt about the following equation: Imagine I want to calculate an unknown function [tex] y(x)[/tex], and my starting equation is of the type(adsbygoogle = window.adsbygoogle || []).push({});

[tex] y(x)^{2}=\frac{1}{x^{2}Log^{2}(A(x)y(x)^{2})}[/tex]

, then, am I allowed to start with the equation

[tex] y(x)=\frac{1}{xLog(A(x)y(x)^{2})}[/tex]

and differenciate in both sides of the equation, to obtain a first order diferential equation to get y(x)?

(Note that the beginning equation is a trascendental equation, but why not trying to solve the first order ODE?)

Thank you

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# Differential equation

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