Final answer to the problem
$y=C_1xe^{\left(x^2\right)}$
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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 in standard form
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$\frac{dy}{dx}+\frac{-y}{x}=\frac{2x^2y}{x}$
Learn how to solve problems step by step online. Solve the differential equation xdy/dx-y=2x^2y. Rewrite the differential equation in standard form. Simplify the fraction \frac{2x^2y}{x} by x. Rearrange terms. Multiplying the fraction by -1.
Final answer to the problem
$y=C_1xe^{\left(x^2\right)}$
