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Question Number 87459 by john santu last updated on 04/Apr/20

$$\mathrm{find}\mathrm{all}\mathrm{functions}\mathrm{f}:\mathbb{R}\to \mathbb{R}$$$$\mathrm{so}\mathrm{that}(\mathrm{x}-\mathrm{y})\mathrm{f}(\mathrm{x}+\mathrm{y})-(\mathrm{x}+\mathrm{y})\mathrm{f}(\mathrm{x}-\mathrm{y})=$$$$4\mathrm{xy}({\mathrm{x}}^2-{\mathrm{y}}^2)\mathrm{\forall }\mathrm{x},\mathrm{y}\in \mathbb{R}$$

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