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Question Number 140702 by help last updated on 11/May/21

Answered by liberty last updated on 12/May/21

$$\left(3\right)\frac{{\mathrm{y}}^{\cancel{2}}}{2}=-\mathrm{x}\cancel{\mathrm{y}}\frac{\mathrm{dy}}{\mathrm{dx}}$$$$\Rightarrow -\frac{\mathrm{dx}}{\mathrm{x}}=\frac{2\mathrm{dy}}{\mathrm{y}}$$$$\Rightarrow -\ln \mathrm{x}+\mathrm{c}=2\ln \mathrm{y}$$$$\Rightarrow -\ln \mathrm{Cx}=\ln {\mathrm{y}}^2$$$$\Rightarrow \frac{1}{\mathrm{Cx}}={\mathrm{y}}^2$$

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