Final answer to the problem
$y=e^{-x^2}\left(2e^{\left(x^2\right)}+C_0\right)$
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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 using Leibniz notation
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}+2xy-y=4x-2$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^'+2xy-y=4x-2. Rewrite the differential equation using Leibniz notation. Factor the polynomial 4x-2 by it's greatest common factor (GCF): 2. Rearrange terms. Multiplying polynomials -2 and 2x-1.
Final answer to the problem
$y=e^{-x^2}\left(2e^{\left(x^2\right)}+C_0\right)$
