Question Number 175734 by Engr_Jidda last updated on 05/Sep/22
$${form}\:{a}\:{differential}\:{equation}\:{from}\:{the}\:{following} \\ $$$$\left.\mathrm{1}\right)\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{ax}+\mathrm{1}=\mathrm{0}\:\:{a}={constant} \\ $$$$\left.\mathrm{2}\right)\:{y}={A}\varrho^{\mathrm{3}{x}} +{B}\varrho^{−\mathrm{2}{x}} \\ $$