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...
Rearrange the differential equation
Learn how to solve integration techniques problems step by step online.
$\frac{dy}{dx}-\left(-5y-3x+xy\right)=15$
Learn how to solve integration techniques problems step by step online. Solve the differential equation dy/dx=15-3x-5yxy. Rearrange the differential equation. 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(x)=5 and Q(x)=15. In order to solve the differential equation, the first step is to find the integrating factor \mu(x). To find \mu(x), we first need to calculate \int P(x)dx.