Final answer to the problem
$y=\left(\frac{-1}{\ln\left(x\right)+C_0}-1\right)x$
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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 using Leibniz notation
$x^2+3xy+y^2-x^2\left(\frac{dy}{dx}\right)=0$
Learn how to solve differential equations problems step by step online.
$x^2+3xy+y^2-x^2\left(\frac{dy}{dx}\right)=0$
Learn how to solve differential equations problems step by step online. Solve the differential equation x^2+3xyy^2-x^2y^'=0. Rewrite the differential equation using Leibniz notation. Divide all terms of the equation by -x^2. Zero divided by anything is equal to zero. Grouping the terms of the differential equation.
Final answer to the problem
$y=\left(\frac{-1}{\ln\left(x\right)+C_0}-1\right)x$
