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Exercise

$\frac{d}{dx}\:\:\frac{x^2}{a^2}+\frac{y^2}{b^2}=3x^2y^3$

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Final answer to the exercise

$y^{\prime}=\frac{x\left(6y^{3}a^2+9xy^{\left({\prime}+2\right)}a^2-2\right)b^2}{2ya^2}$

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  • Find the derivative using the definition
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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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