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Solve-the-ODE-x-d-2-y-dx-2-dy-dx-ln-dy-dx-dy-dx-ln-x-




Question Number 124643 by Lordose last updated on 05/Dec/20
  Solve the ODE      x(d^2 y/dx^2 ) = (dy/dx)ln((dy/dx)) − (dy/dx)ln(x)
$$\:\:\mathrm{Solve}\:\mathrm{the}\:\mathrm{ODE} \\ $$$$\:\:\:\:\mathrm{x}\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:=\:\frac{\mathrm{dy}}{\mathrm{dx}}\mathrm{ln}\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)\:−\:\frac{\mathrm{dy}}{\mathrm{dx}}\mathrm{ln}\left(\mathrm{x}\right) \\ $$

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