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The author of my textbook asks to verify that the function:

$$ y = \sqrt{ \frac{2}{3} \ln{(1 + x^2)} + C} $$

solves the differential equation

$$ \frac{dy}{dx} = \frac{x^3}{y + yx^3}$$

However, this is an error and this $y$ does not solve the differential equation. Is there a simple typo that makes the problem workable?

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    I've solved my own question... Changing $ y = \sqrt{ \frac{2}{3} \ln{(1 + x^3)} + C} $ and $ \frac{dy}{dx} = \frac{x^2}{y + yx^3}$ seems to do the trick.2012-03-17
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    Have you tried to differentiate y=23ln(1+x2)+C−−−−−−−−−−−−√ with respect to x? Make an attempt and add more detail to your question.2012-03-17
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    your book does have the wrong answer. Whatever answer you get, when you integrate you should back the original $y$ value2012-03-18

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