Final answer to the problem
$-\ln\left|\frac{y}{x}+1\right|-\ln\left|\frac{-y}{x}+1\right|=\ln\left|x\right|+C_0$
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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 integrals by partial fraction expansion problems step by step online.
$2\left(\frac{dy}{dx}\right)=\frac{x}{y}+\frac{y}{x}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Solve the differential equation 2y^'=x/y+y/x. Rewrite the differential equation using Leibniz notation. Rewrite the differential equation. Combine \frac{x}{y}+\frac{y}{x} in a single fraction. Combine y+\frac{x^2}{y} in a single fraction.
Final answer to the problem
$-\ln\left|\frac{y}{x}+1\right|-\ln\left|\frac{-y}{x}+1\right|=\ln\left|x\right|+C_0$
