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Question Number 130040 by liberty last updated on 22/Jan/21
$$\:\mathrm{e}^{\frac{\mathrm{t}}{\mathrm{y}}} \left(\mathrm{y}−\mathrm{t}\right)\:\frac{\mathrm{dy}}{\mathrm{dt}}\:+\:\mathrm{y}\left(\mathrm{1}+\mathrm{e}^{\frac{\mathrm{t}}{\mathrm{y}}} \:\right)\:=\:\mathrm{0}\: \\ $$