Final answer to the problem
$y=\frac{C_1x}{x+1}$
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Step-by-step Solution
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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
Factor the polynomial $y^2dx-xy\cdot dy$ by it's greatest common factor (GCF): $y$
$y\left(y\cdot dx-x\cdot dy\right)=x^2y\cdot dy$
Learn how to solve integrals by partial fraction expansion problems step by step online. Solve the differential equation y^2dx-xydy=x^2ydy. Factor the polynomial y^2dx-xy\cdot dy by it's greatest common factor (GCF): y. Cancel y from both sides of the equation. Group the terms of the equation. Factor the polynomial -x\cdot dy-x^2dy by it's greatest common factor (GCF): -x\cdot dy.
Final answer to the problem
$y=\frac{C_1x}{x+1}$
