Final answer to the problem
$\frac{1}{2}\ln\left|y+1\right|-\frac{1}{2}\ln\left|y-1\right|=\arctan\left(x\right)+C_0$
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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
Group the terms of the equation
$-dy-x^2dy=y^2dx-dx$
Learn how to solve problems step by step online.
$-dy-x^2dy=y^2dx-dx$
Learn how to solve problems step by step online. Solve the differential equation dx-dy=y^2dx+x^2dy. Group the terms of the equation. Factor the polynomial -dy-x^2dy by it's greatest common factor (GCF): -dy. 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
$\frac{1}{2}\ln\left|y+1\right|-\frac{1}{2}\ln\left|y-1\right|=\arctan\left(x\right)+C_0$
