Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- Integrate using tabular integration
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Factoring by $x$
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$\frac{dy}{dx}=\frac{x\left(2y+2\right)}{x^2+1}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(2xy+2x)/(x^2+1). Factoring by x. 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 \frac{1}{2y+2}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.