Final answer to the problem
$y=\frac{x^{5}+C_1}{5x^{2}}$
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Step-by-step Solution
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- Choisir une option
- Equation différentielle exacte
- Équation différentielle linéaire
- Équation différentielle séparable
- Equation différentielle homogène
- Produit de binômes avec terme commun
- Méthode FOIL
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1
Expand the fraction $\frac{x^3-2y}{x}$ into $2$ simpler fractions with common denominator $x$
$\frac{dy}{dx}=\frac{x^3}{x}+\frac{-2y}{x}$
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$\frac{dy}{dx}=\frac{x^3}{x}+\frac{-2y}{x}$
Learn how to solve problems step by step online. dy/dx=(x^3-2y)/x. Expand the fraction \frac{x^3-2y}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Rearrange the differential equation. Simplifying.
Final answer to the problem
$y=\frac{x^{5}+C_1}{5x^{2}}$
