Final answer to the problem
$y=\frac{C_1e^{\frac{1}{-x}}}{x}$
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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
Rewrite the differential equation
$\frac{dy}{dx}=\frac{y-xy}{x^2}$
Learn how to solve problems step by step online. Solve the differential equation x^2dy/dx=y-xy. Rewrite the differential equation. Factoring by y. 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 \left(1-x\right)\frac{1}{x^2}dx.
Final answer to the problem
$y=\frac{C_1e^{\frac{1}{-x}}}{x}$
