Final answer to the problem
$y=\left(\frac{x^{3}}{3}-6x+\frac{-9}{x}+C_0\right)x$
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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
Rewrite the differential equation
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$\frac{dy}{dx}=\frac{y+\left(x^2-3\right)^2}{x}$
Learn how to solve problems step by step online. Solve the differential equation dy/dxx=y+(x^2-3)^2. Rewrite the differential equation. Expand the fraction \frac{y+\left(x^2-3\right)^2}{x} into 2 simpler fractions with common denominator x. Rearrange the differential equation. Simplifying.
Final answer to the problem
$y=\left(\frac{x^{3}}{3}-6x+\frac{-9}{x}+C_0\right)x$
