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Answer 1

Answer:

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Answer 2

Answer:

$- \frac{x(x^3-2)}{y(x^3+1)^2}$

Step-by-step explanation:

rewrite this equation as:

$\frac{dy}{dx} = \frac{x^2}{y(x^3+1)}$

See steps in attached image.

Then rewrite the final product like this:

$\frac{2x}{y(x^3+1)} - \frac{3x^4}{y(x^3+1)^2}$

after solving it gives:

$- \frac{x(x^3-2)}{y(x^3+1)^2}$