Final answer to the problem
$-\ln\left|y\right|+\ln\left|y-1\right|=\ln\left|x\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
Multiplying the fraction by $x$
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$\frac{xdy}{dx}+y=y^2$
Learn how to solve problems step by step online. Solve the differential equation xdy/dx+y=y^2. Multiplying the fraction by x. We need to isolate the dependent variable y, we can do that by simultaneously subtracting y from both sides of the equation. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{y^2-y}dy.
Final answer to the problem
$-\ln\left|y\right|+\ln\left|y-1\right|=\ln\left|x\right|+C_0$
