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...
Divide all the terms of the differential equation by $y$
Learn how to solve differential equations problems step by step online.
$\frac{y}{y}\frac{dx}{dy}+\frac{-x}{y}=\frac{2y^2}{y}$
Learn how to solve differential equations problems step by step online. Solve the differential equation ydx/dy-x=2y^2. Divide all the terms of the differential equation by y. Simplifying. We can identify that the differential equation has the form: \frac{dy}{dx} + P(x)\cdot y(x) = Q(x), so we can classify it as a linear first order differential equation, where P(y)=\frac{-1}{y} and Q(y)=2y. In order to solve the differential equation, the first step is to find the integrating factor \mu(x). To find \mu(y), we first need to calculate \int P(y)dy.
