Final answer to the problem
$y=\sqrt[3]{3\left(\frac{1}{-x}+\ln\left(x\right)+C_0\right)}$
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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 using Leibniz notation
Learn how to solve integrals of polynomial functions problems step by step online.
$\frac{dy}{dx}=\frac{1+x}{x^2y^2}$
Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation y^'=(1+x)/(x^2y^2). Rewrite the differential equation using Leibniz notation. 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. 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
$y=\sqrt[3]{3\left(\frac{1}{-x}+\ln\left(x\right)+C_0\right)}$
