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Exercise

$\frac{dy}{dx}\:-5y\:+5xy^3\:=\:0$

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Final answer to the exercise

$y=\frac{e^{5x}}{\sqrt{e^{10x}x-\frac{1}{10}e^{10x}+C_0}},\:y=\frac{-e^{5x}}{\sqrt{e^{10x}x-\frac{1}{10}e^{10x}+C_0}}$

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