Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Homogeneous Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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Factor the polynomial $y+xy$ by it's greatest common factor (GCF): $y$
Learn how to solve differential equations problems step by step online.
$\frac{dx}{dy}=y\left(1+x\right)$
Learn how to solve differential equations problems step by step online. Solve the differential equation dx/dy=y+xy. Factor the polynomial y+xy by it's greatest common factor (GCF): y. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the y variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{1+x}dx and replace the result in the differential equation.