Final answer to the problem
$y=\left(\ln\left(x\right)+\frac{1}{x}+C_0\right)x$
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Step-by-step Solution
How should I solve this problem?
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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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1
Rewrite the differential equation in standard form
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$\frac{dy}{dx}+\frac{1}{x}=\frac{x+y}{x}$
Learn how to solve problems step by step online. Solve the differential equation xdy/dx+1=x+y. Rewrite the differential equation in standard form. We need to isolate the dependent variable y, we can do that by simultaneously subtracting \frac{1}{x} from both sides of the equation. Multiplying the fraction by -1. Combine fractions with common denominator x.
Final answer to the problem
$y=\left(\ln\left(x\right)+\frac{1}{x}+C_0\right)x$
