Final answer to the problem
$y=\sqrt{C_2x^{-2}-1},\:y=-\sqrt{C_2x^{-2}-1}$
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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
Multiplying polynomials $dx$ and $y^2+1$
$y^2dx+dx+xy\cdot dy=0$
Learn how to solve differential equations problems step by step online.
$y^2dx+dx+xy\cdot dy=0$
Learn how to solve differential equations problems step by step online. Solve the differential equation (y^2+1)dx+xydy=0. Multiplying polynomials dx and y^2+1. Group the terms of the equation. Factor the polynomial -y^2dx-dx by it's greatest common factor (GCF): -dx. 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.
Final answer to the problem
$y=\sqrt{C_2x^{-2}-1},\:y=-\sqrt{C_2x^{-2}-1}$
