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
Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$x\frac{dy}{dx}=y^2+y$
Learn how to solve differential equations problems step by step online. Solve the differential equation xy^'=y^2+y. Rewrite the differential equation using Leibniz notation. 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. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Final answer to the problem
$\ln\left|y\right|-\ln\left|y+1\right|=\ln\left|x\right|+C_0$
