solve-the-equation-z-x-z-z-x-y-y-z-z-y-0-where-z-y-when-x-1-

Question Number 72577 by aliesam last updated on 30/Oct/19

$${solve}\:{the}\:{equation} \\ $$$$ \\ $$$${z}\left({x}+{z}\right)\frac{\partial{z}}{\partial{x}}\:−\:{y}\left({y}+{z}\right)\frac{\partial{z}}{\partial{y}}\:=\:\mathrm{0} \\ $$$$ \\ $$$${where}\:{z}=\sqrt{{y}}\:{when}\:{x}=\mathrm{1} \\ $$

Commented by mind is power last updated on 30/Oct/19

$$\mathrm{firsr}\:\mathrm{chek}\:\mathrm{please}\:\mathrm{is}\:\mathrm{x}\left(\mathrm{x}+\mathrm{z}\right)\frac{\partial\mathrm{z}}{\partial\mathrm{x}}? \\ $$$$ \\ $$

Commented by aliesam last updated on 30/Oct/19

$${i}'{ts}\:{correct}\:.\:{no}\:{error} \\ $$$$ \\ $$

Commented by aliesam last updated on 31/Oct/19

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