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