Final answer to the problem
$y=\frac{C_1x}{x+1}+1$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Rewrite the differential equation using Leibniz notation
$\frac{dy}{dx}=\frac{y-1}{x^2+x}$
Learn how to solve problems step by step online.
$\frac{dy}{dx}=\frac{y-1}{x^2+x}$
Learn how to solve problems step by step online. Solve the differential equation y^'=(y-1)/(x^2+x). 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 \frac{1}{x^2+x}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
$y=\frac{C_1x}{x+1}+1$
