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Question Number 14288 by tawa tawa last updated on 30/May/17

$$\mathrm{Solve}:{\mathrm{y}}^{\prime }+\frac{\mathrm{y}}{\mathrm{x}}=0$$

Answered by Tinkutara last updated on 30/May/17

$$\frac{dy}{dx}=-\frac{y}{x}$$$$\frac{dy}{y}=-\frac{dx}{x}$$$$\ln y=-\ln x+C$$$$\ln xy=C$$$$xy=e^C$$

Commented by Tinkutara last updated on 30/May/17

$$\mathrm{Thanks}!$$

Commented by tawa tawa last updated on 30/May/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

Commented by prakash jain last updated on 30/May/17

$$xy=e^C$$$$canalsobewrittenas$$$$xy=c$$

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