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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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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $x\sin\left(x\right)$ from both sides of the equation
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$\frac{dy}{dx}=\frac{y}{x}-x\sin\left(x\right)$
Learn how to solve factorization problems step by step online. Solve the differential equation dy/dx+xsin(x)=y/x. We need to isolate the dependent variable y, we can do that by simultaneously subtracting x\sin\left(x\right) from both sides of the equation. 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)=\frac{-1}{x} and Q(x)=-x\sin\left(x\right). In order to solve the differential equation, the first step is to find the integrating factor \mu(x).
