Final answer to the problem
$\ln\left|y\right|+\frac{-1}{y-1}-\ln\left|y-1\right|=x+C_0$
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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
Group the terms of the equation
$dy=y\left(y-1\right)^2dx$
Learn how to solve differential equations problems step by step online.
$dy=y\left(y-1\right)^2dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy-y(y-1)^2dx=0. Group the terms 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}\frac{1}{\left(y-1\right)^2}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
$\ln\left|y\right|+\frac{-1}{y-1}-\ln\left|y-1\right|=x+C_0$
