Final answer to the problem
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...
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
Learn how to solve problems step by step online.
$\frac{y}{3+y^2}dy=\frac{1}{2}\frac{1}{x}dx$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(3+y^2)/(2xy). 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}{2}\frac{1}{x}dx. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{y}{3+y^2}dy and replace the result in the differential equation.