Final answer to the problem
$y=\frac{C_1\left(x-1\right)}{x}$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
Rewrite the fraction $\frac{1}{x\left(x-1\right)}$ in $2$ simpler fractions using partial fraction decomposition
$\frac{1}{x\left(x-1\right)}=\frac{A}{x}+\frac{B}{x-1}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Solve the differential equation int(1/y)dy=int(1/(x(x-1)))dx. Rewrite the fraction \frac{1}{x\left(x-1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by x\left(x-1\right). Multiplying polynomials. Simplifying.
Final answer to the problem
$y=\frac{C_1\left(x-1\right)}{x}$
