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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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Expand the fraction $\frac{x^3-2y}{x}$ into $2$ simpler fractions with common denominator $x$
Learn how to solve integrals of polynomial functions problems step by step online.
$\frac{dy}{dx}=\frac{x^3}{x}+\frac{-2y}{x}$
Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation 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
$y=\frac{x^{5}+C_1}{5x^{2}}$
