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Question Number 164564 by Rahul_99 last updated on 18/Jan/22

  when F does not contain y explicity . Find the extremals of  ∫_x_1  ^x_2  ((y′^2 )/x^2 )dx

$$ \\ $$$${when}\:{F}\:{does}\:{not}\:{contain}\:{y}\:{explicity}\:.\:{Find}\:{the}\:{extremals}\:{of} \\ $$$$\underset{{x}_{\mathrm{1}} } {\overset{{x}_{\mathrm{2}} } {\int}}\frac{{y}'^{\mathrm{2}} }{{x}^{\mathrm{2}} }{dx} \\ $$

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